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Finding the Fourth Proportional to 71,818.92, 107,567.96 and 52,052.09

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Solution

The fourth proportional to 71,818.92, 107,567.96 and 52,052.09 is: 77,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818.92 : 107,567.96 = 52,052.09 : x
  2. Step 2: Convert to fraction form
    71,818.92/107,567.96 = 52,052.09/x
  3. Step 3: Cross multiply
    71,818.92x = 107,567.96 × 52,052.09
  4. Step 4: Simplify right side
    71,818.92x = 5,599,136,336.94
  5. Step 5: Solve for x
    x = 5,599,136,336.94/71,818.92
  6. Step 6: Final answer
    x = 77,961.86

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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.