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Finding the Fourth Proportional to 71,005.96, 106,436.97 and 46,061.92

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Solution

The fourth proportional to 71,005.96, 106,436.97 and 46,061.92 is: 69,046.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,005.96 : 106,436.97 = 46,061.92 : x
  2. Step 2: Convert to fraction form
    71,005.96/106,436.97 = 46,061.92/x
  3. Step 3: Cross multiply
    71,005.96x = 106,436.97 × 46,061.92
  4. Step 4: Simplify right side
    71,005.96x = 4,902,691,197.18
  5. Step 5: Solve for x
    x = 4,902,691,197.18/71,005.96
  6. Step 6: Final answer
    x = 69,046.19

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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.