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Finding the Fourth Proportional to 39,095.19, 53,950.05 and 23,170.19

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Solution

The fourth proportional to 39,095.19, 53,950.05 and 23,170.19 is: 31,974.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,095.19 : 53,950.05 = 23,170.19 : x
  2. Step 2: Convert to fraction form
    39,095.19/53,950.05 = 23,170.19/x
  3. Step 3: Cross multiply
    39,095.19x = 53,950.05 × 23,170.19
  4. Step 4: Simplify right side
    39,095.19x = 1,250,032,639.26
  5. Step 5: Solve for x
    x = 1,250,032,639.26/39,095.19
  6. Step 6: Final answer
    x = 31,974.08

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Half scale
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Find fourth proportional to 39,096.19, 53,951.43 and 23,171.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.