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Finding the Fourth Proportional to 71,126.49, 106,695.17 and 21,202.77

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Solution

The fourth proportional to 71,126.49, 106,695.17 and 21,202.77 is: 31,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,126.49 : 106,695.17 = 21,202.77 : x
  2. Step 2: Convert to fraction form
    71,126.49/106,695.17 = 21,202.77/x
  3. Step 3: Cross multiply
    71,126.49x = 106,695.17 × 21,202.77
  4. Step 4: Simplify right side
    71,126.49x = 2,262,233,149.62
  5. Step 5: Solve for x
    x = 2,262,233,149.62/71,126.49
  6. Step 6: Final answer
    x = 31,805.78

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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.