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Finding the Fourth Proportional to 71,374.38, 106,976.52 and 29,252.76

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Solution

The fourth proportional to 71,374.38, 106,976.52 and 29,252.76 is: 43,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374.38 : 106,976.52 = 29,252.76 : x
  2. Step 2: Convert to fraction form
    71,374.38/106,976.52 = 29,252.76/x
  3. Step 3: Cross multiply
    71,374.38x = 106,976.52 × 29,252.76
  4. Step 4: Simplify right side
    71,374.38x = 3,129,358,465.20
  5. Step 5: Solve for x
    x = 3,129,358,465.20/71,374.38
  6. Step 6: Final answer
    x = 43,844.28

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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.