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Finding the Fourth Proportional to 57,402.60, 86,068.68 and 22,301.28

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Solution

The fourth proportional to 57,402.60, 86,068.68 and 22,301.28 is: 33,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402.60 : 86,068.68 = 22,301.28 : x
  2. Step 2: Convert to fraction form
    57,402.60/86,068.68 = 22,301.28/x
  3. Step 3: Cross multiply
    57,402.60x = 86,068.68 × 22,301.28
  4. Step 4: Simplify right side
    57,402.60x = 1,919,441,731.91
  5. Step 5: Solve for x
    x = 1,919,441,731.91/57,402.60
  6. Step 6: Final answer
    x = 33,438.24

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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.