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Finding the Fourth Proportional to 31,724.17, 47,593.22 and 9,539.53

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Solution

The fourth proportional to 31,724.17, 47,593.22 and 9,539.53 is: 14,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,724.17 : 47,593.22 = 9,539.53 : x
  2. Step 2: Convert to fraction form
    31,724.17/47,593.22 = 9,539.53/x
  3. Step 3: Cross multiply
    31,724.17x = 47,593.22 × 9,539.53
  4. Step 4: Simplify right side
    31,724.17x = 454,016,902.29
  5. Step 5: Solve for x
    x = 454,016,902.29/31,724.17
  6. Step 6: Final answer
    x = 14,311.39

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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.