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Finding the Fourth Proportional to 48,711.78, 67,223.52 and 27,491.40

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Solution

The fourth proportional to 48,711.78, 67,223.52 and 27,491.40 is: 37,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711.78 : 67,223.52 = 27,491.40 : x
  2. Step 2: Convert to fraction form
    48,711.78/67,223.52 = 27,491.40/x
  3. Step 3: Cross multiply
    48,711.78x = 67,223.52 × 27,491.40
  4. Step 4: Simplify right side
    48,711.78x = 1,848,068,677.73
  5. Step 5: Solve for x
    x = 1,848,068,677.73/48,711.78
  6. Step 6: Final answer
    x = 37,938.85

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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.