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Finding the Fourth Proportional to 71,524.97, 107,291.10 and 24,141.79

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Solution

The fourth proportional to 71,524.97, 107,291.10 and 24,141.79 is: 36,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524.97 : 107,291.10 = 24,141.79 : x
  2. Step 2: Convert to fraction form
    71,524.97/107,291.10 = 24,141.79/x
  3. Step 3: Cross multiply
    71,524.97x = 107,291.10 × 24,141.79
  4. Step 4: Simplify right side
    71,524.97x = 2,590,199,084.36
  5. Step 5: Solve for x
    x = 2,590,199,084.36/71,524.97
  6. Step 6: Final answer
    x = 36,213.91

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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.