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Finding the Fourth Proportional to 57,735.60, 86,581.80 and 20,281.20

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Solution

The fourth proportional to 57,735.60, 86,581.80 and 20,281.20 is: 30,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,735.60 : 86,581.80 = 20,281.20 : x
  2. Step 2: Convert to fraction form
    57,735.60/86,581.80 = 20,281.20/x
  3. Step 3: Cross multiply
    57,735.60x = 86,581.80 × 20,281.20
  4. Step 4: Simplify right side
    57,735.60x = 1,755,982,802.16
  5. Step 5: Solve for x
    x = 1,755,982,802.16/57,735.60
  6. Step 6: Final answer
    x = 30,414.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.