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Finding the Fourth Proportional to 52,159.68, 71,979.44 and 29,497.91

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Solution

The fourth proportional to 52,159.68, 71,979.44 and 29,497.91 is: 40,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,159.68 : 71,979.44 = 29,497.91 : x
  2. Step 2: Convert to fraction form
    52,159.68/71,979.44 = 29,497.91/x
  3. Step 3: Cross multiply
    52,159.68x = 71,979.44 × 29,497.91
  4. Step 4: Simplify right side
    52,159.68x = 2,123,242,535.58
  5. Step 5: Solve for x
    x = 2,123,242,535.58/52,159.68
  6. Step 6: Final answer
    x = 40,706.59

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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.