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Finding the Fourth Proportional to 71,679.33, 107,451.80 and 24,261.24

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Solution

The fourth proportional to 71,679.33, 107,451.80 and 24,261.24 is: 36,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,679.33 : 107,451.80 = 24,261.24 : x
  2. Step 2: Convert to fraction form
    71,679.33/107,451.80 = 24,261.24/x
  3. Step 3: Cross multiply
    71,679.33x = 107,451.80 × 24,261.24
  4. Step 4: Simplify right side
    71,679.33x = 2,606,913,676.43
  5. Step 5: Solve for x
    x = 2,606,913,676.43/71,679.33
  6. Step 6: Final answer
    x = 36,369.11

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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.