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Finding the Fourth Proportional to 47,882.70, 71,756.84 and 37,843.32

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Solution

The fourth proportional to 47,882.70, 71,756.84 and 37,843.32 is: 56,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.70 : 71,756.84 = 37,843.32 : x
  2. Step 2: Convert to fraction form
    47,882.70/71,756.84 = 37,843.32/x
  3. Step 3: Cross multiply
    47,882.70x = 71,756.84 × 37,843.32
  4. Step 4: Simplify right side
    47,882.70x = 2,715,517,058.31
  5. Step 5: Solve for x
    x = 2,715,517,058.31/47,882.70
  6. Step 6: Final answer
    x = 56,711.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.