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Finding the Fourth Proportional to 71,454.48, 107,174.14 and 29,339

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Solution

The fourth proportional to 71,454.48, 107,174.14 and 29,339 is: 44,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,454.48 : 107,174.14 = 29,339 : x
  2. Step 2: Convert to fraction form
    71,454.48/107,174.14 = 29,339/x
  3. Step 3: Cross multiply
    71,454.48x = 107,174.14 × 29,339
  4. Step 4: Simplify right side
    71,454.48x = 3,144,382,093.46
  5. Step 5: Solve for x
    x = 3,144,382,093.46/71,454.48
  6. Step 6: Final answer
    x = 44,005.39

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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.