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Finding the Fourth Proportional to 39,761.53, 54,813 and 27,787.66

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Solution

The fourth proportional to 39,761.53, 54,813 and 27,787.66 is: 38,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,761.53 : 54,813 = 27,787.66 : x
  2. Step 2: Convert to fraction form
    39,761.53/54,813 = 27,787.66/x
  3. Step 3: Cross multiply
    39,761.53x = 54,813 × 27,787.66
  4. Step 4: Simplify right side
    39,761.53x = 1,523,125,007.58
  5. Step 5: Solve for x
    x = 1,523,125,007.58/39,761.53
  6. Step 6: Final answer
    x = 38,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.