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Finding the Fourth Proportional to 71,642.40, 107,457 and 24,252.08

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Solution

The fourth proportional to 71,642.40, 107,457 and 24,252.08 is: 36,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,642.40 : 107,457 = 24,252.08 : x
  2. Step 2: Convert to fraction form
    71,642.40/107,457 = 24,252.08/x
  3. Step 3: Cross multiply
    71,642.40x = 107,457 × 24,252.08
  4. Step 4: Simplify right side
    71,642.40x = 2,606,055,760.56
  5. Step 5: Solve for x
    x = 2,606,055,760.56/71,642.40
  6. Step 6: Final answer
    x = 36,375.89

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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.