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Finding the Fourth Proportional to 75,084.92, 112,631.13 and 22,489.39

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Solution

The fourth proportional to 75,084.92, 112,631.13 and 22,489.39 is: 33,735.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,084.92 : 112,631.13 = 22,489.39 : x
  2. Step 2: Convert to fraction form
    75,084.92/112,631.13 = 22,489.39/x
  3. Step 3: Cross multiply
    75,084.92x = 112,631.13 × 22,489.39
  4. Step 4: Simplify right side
    75,084.92x = 2,533,005,296.26
  5. Step 5: Solve for x
    x = 2,533,005,296.26/75,084.92
  6. Step 6: Final answer
    x = 33,735.21

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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.