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Finding the Fourth Proportional to 71,732.90, 107,599.14 and 34,179.02

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Solution

The fourth proportional to 71,732.90, 107,599.14 and 34,179.02 is: 51,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,732.90 : 107,599.14 = 34,179.02 : x
  2. Step 2: Convert to fraction form
    71,732.90/107,599.14 = 34,179.02/x
  3. Step 3: Cross multiply
    71,732.90x = 107,599.14 × 34,179.02
  4. Step 4: Simplify right side
    71,732.90x = 3,677,633,158.04
  5. Step 5: Solve for x
    x = 3,677,633,158.04/71,732.90
  6. Step 6: Final answer
    x = 51,268.43

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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.