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Finding the Fourth Proportional to 71,153.32, 106,498.29 and 52,425.88

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Solution

The fourth proportional to 71,153.32, 106,498.29 and 52,425.88 is: 78,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153.32 : 106,498.29 = 52,425.88 : x
  2. Step 2: Convert to fraction form
    71,153.32/106,498.29 = 52,425.88/x
  3. Step 3: Cross multiply
    71,153.32x = 106,498.29 × 52,425.88
  4. Step 4: Simplify right side
    71,153.32x = 5,583,266,571.75
  5. Step 5: Solve for x
    x = 5,583,266,571.75/71,153.32
  6. Step 6: Final answer
    x = 78,468.11

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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.