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Finding the Fourth Proportional to 47,535.60, 65,596.14 and 27,895.80

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Solution

The fourth proportional to 47,535.60, 65,596.14 and 27,895.80 is: 38,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,535.60 : 65,596.14 = 27,895.80 : x
  2. Step 2: Convert to fraction form
    47,535.60/65,596.14 = 27,895.80/x
  3. Step 3: Cross multiply
    47,535.60x = 65,596.14 × 27,895.80
  4. Step 4: Simplify right side
    47,535.60x = 1,829,856,802.21
  5. Step 5: Solve for x
    x = 1,829,856,802.21/47,535.60
  6. Step 6: Final answer
    x = 38,494.45

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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.