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Finding the Fourth Proportional to 71,115.36, 106,737.72 and 37,863.24

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Solution

The fourth proportional to 71,115.36, 106,737.72 and 37,863.24 is: 56,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115.36 : 106,737.72 = 37,863.24 : x
  2. Step 2: Convert to fraction form
    71,115.36/106,737.72 = 37,863.24/x
  3. Step 3: Cross multiply
    71,115.36x = 106,737.72 × 37,863.24
  4. Step 4: Simplify right side
    71,115.36x = 4,041,435,909.41
  5. Step 5: Solve for x
    x = 4,041,435,909.41/71,115.36
  6. Step 6: Final answer
    x = 56,829.30

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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.