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Finding the Fourth Proportional to 71,438.01, 107,081.99 and 24,036.64

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Solution

The fourth proportional to 71,438.01, 107,081.99 and 24,036.64 is: 36,029.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,438.01 : 107,081.99 = 24,036.64 : x
  2. Step 2: Convert to fraction form
    71,438.01/107,081.99 = 24,036.64/x
  3. Step 3: Cross multiply
    71,438.01x = 107,081.99 × 24,036.64
  4. Step 4: Simplify right side
    71,438.01x = 2,573,891,591.71
  5. Step 5: Solve for x
    x = 2,573,891,591.71/71,438.01
  6. Step 6: Final answer
    x = 36,029.72

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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.