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Finding the Fourth Proportional to 38,952.30, 53,758.08 and 23,854.80

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Solution

The fourth proportional to 38,952.30, 53,758.08 and 23,854.80 is: 32,922.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,952.30 : 53,758.08 = 23,854.80 : x
  2. Step 2: Convert to fraction form
    38,952.30/53,758.08 = 23,854.80/x
  3. Step 3: Cross multiply
    38,952.30x = 53,758.08 × 23,854.80
  4. Step 4: Simplify right side
    38,952.30x = 1,282,388,246.78
  5. Step 5: Solve for x
    x = 1,282,388,246.78/38,952.30
  6. Step 6: Final answer
    x = 32,922.02

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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.