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Finding the Fourth Proportional to 52,136.64, 71,947.68 and 29,475.28

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Solution

The fourth proportional to 52,136.64, 71,947.68 and 29,475.28 is: 40,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,136.64 : 71,947.68 = 29,475.28 : x
  2. Step 2: Convert to fraction form
    52,136.64/71,947.68 = 29,475.28/x
  3. Step 3: Cross multiply
    52,136.64x = 71,947.68 × 29,475.28
  4. Step 4: Simplify right side
    52,136.64x = 2,120,678,013.35
  5. Step 5: Solve for x
    x = 2,120,678,013.35/52,136.64
  6. Step 6: Final answer
    x = 40,675.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.