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Finding the Fourth Proportional to 71,924.32, 107,882.55 and 22,004.41

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Solution

The fourth proportional to 71,924.32, 107,882.55 and 22,004.41 is: 33,005.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,924.32 : 107,882.55 = 22,004.41 : x
  2. Step 2: Convert to fraction form
    71,924.32/107,882.55 = 22,004.41/x
  3. Step 3: Cross multiply
    71,924.32x = 107,882.55 × 22,004.41
  4. Step 4: Simplify right side
    71,924.32x = 2,373,891,701.79
  5. Step 5: Solve for x
    x = 2,373,891,701.79/71,924.32
  6. Step 6: Final answer
    x = 33,005.41

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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.