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Finding the Fourth Proportional to 31,735.30, 47,593.36 and 9,542.79

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Solution

The fourth proportional to 31,735.30, 47,593.36 and 9,542.79 is: 14,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.30 : 47,593.36 = 9,542.79 : x
  2. Step 2: Convert to fraction form
    31,735.30/47,593.36 = 9,542.79/x
  3. Step 3: Cross multiply
    31,735.30x = 47,593.36 × 9,542.79
  4. Step 4: Simplify right side
    31,735.30x = 454,173,154.19
  5. Step 5: Solve for x
    x = 454,173,154.19/31,735.30
  6. Step 6: Final answer
    x = 14,311.29

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