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Finding the Fourth Proportional to 75,314.62, 112,974.87 and 22,724.11

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Solution

The fourth proportional to 75,314.62, 112,974.87 and 22,724.11 is: 34,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,314.62 : 112,974.87 = 22,724.11 : x
  2. Step 2: Convert to fraction form
    75,314.62/112,974.87 = 22,724.11/x
  3. Step 3: Cross multiply
    75,314.62x = 112,974.87 × 22,724.11
  4. Step 4: Simplify right side
    75,314.62x = 2,567,253,373.12
  5. Step 5: Solve for x
    x = 2,567,253,373.12/75,314.62
  6. Step 6: Final answer
    x = 34,087.05

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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.