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Finding the Fourth Proportional to 86,447.25, 129,721.92 and 36,524.13

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Solution

The fourth proportional to 86,447.25, 129,721.92 and 36,524.13 is: 54,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,447.25 : 129,721.92 = 36,524.13 : x
  2. Step 2: Convert to fraction form
    86,447.25/129,721.92 = 36,524.13/x
  3. Step 3: Cross multiply
    86,447.25x = 129,721.92 × 36,524.13
  4. Step 4: Simplify right side
    86,447.25x = 4,737,980,269.93
  5. Step 5: Solve for x
    x = 4,737,980,269.93/86,447.25
  6. Step 6: Final answer
    x = 54,807.76

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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.