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Finding the Fourth Proportional to 75,921.20, 113,866.68 and 25,997.12

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Solution

The fourth proportional to 75,921.20, 113,866.68 and 25,997.12 is: 38,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,921.20 : 113,866.68 = 25,997.12 : x
  2. Step 2: Convert to fraction form
    75,921.20/113,866.68 = 25,997.12/x
  3. Step 3: Cross multiply
    75,921.20x = 113,866.68 × 25,997.12
  4. Step 4: Simplify right side
    75,921.20x = 2,960,205,743.96
  5. Step 5: Solve for x
    x = 2,960,205,743.96/75,921.20
  6. Step 6: Final answer
    x = 38,990.50

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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.