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Finding the Fourth Proportional to 32,976.69, 49,463.47 and 10,787.14

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Solution

The fourth proportional to 32,976.69, 49,463.47 and 10,787.14 is: 16,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.69 : 49,463.47 = 10,787.14 : x
  2. Step 2: Convert to fraction form
    32,976.69/49,463.47 = 10,787.14/x
  3. Step 3: Cross multiply
    32,976.69x = 49,463.47 × 10,787.14
  4. Step 4: Simplify right side
    32,976.69x = 533,569,375.78
  5. Step 5: Solve for x
    x = 533,569,375.78/32,976.69
  6. Step 6: Final answer
    x = 16,180.20

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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.