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Finding the Fourth Proportional to 32,724, 49,084.92 and 9,350.40

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Solution

The fourth proportional to 32,724, 49,084.92 and 9,350.40 is: 14,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724 : 49,084.92 = 9,350.40 : x
  2. Step 2: Convert to fraction form
    32,724/49,084.92 = 9,350.40/x
  3. Step 3: Cross multiply
    32,724x = 49,084.92 × 9,350.40
  4. Step 4: Simplify right side
    32,724x = 458,963,635.97
  5. Step 5: Solve for x
    x = 458,963,635.97/32,724
  6. Step 6: Final answer
    x = 14,025.29

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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.