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Finding the Fourth Proportional to 71,617.78, 107,427.75 and 24,871.78

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Solution

The fourth proportional to 71,617.78, 107,427.75 and 24,871.78 is: 37,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,617.78 : 107,427.75 = 24,871.78 : x
  2. Step 2: Convert to fraction form
    71,617.78/107,427.75 = 24,871.78/x
  3. Step 3: Cross multiply
    71,617.78x = 107,427.75 × 24,871.78
  4. Step 4: Simplify right side
    71,617.78x = 2,671,919,363.90
  5. Step 5: Solve for x
    x = 2,671,919,363.90/71,617.78
  6. Step 6: Final answer
    x = 37,308.05

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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.