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Finding the Fourth Proportional to 108,702.47, 162,869.20 and 52,569

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Solution

The fourth proportional to 108,702.47, 162,869.20 and 52,569 is: 78,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,702.47 : 162,869.20 = 52,569 : x
  2. Step 2: Convert to fraction form
    108,702.47/162,869.20 = 52,569/x
  3. Step 3: Cross multiply
    108,702.47x = 162,869.20 × 52,569
  4. Step 4: Simplify right side
    108,702.47x = 8,561,870,843.38
  5. Step 5: Solve for x
    x = 8,561,870,843.38/108,702.47
  6. Step 6: Final answer
    x = 78,764.27

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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.