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Finding the Fourth Proportional to 83,422.25, 125,132.37 and 33,501.45

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Solution

The fourth proportional to 83,422.25, 125,132.37 and 33,501.45 is: 50,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,422.25 : 125,132.37 = 33,501.45 : x
  2. Step 2: Convert to fraction form
    83,422.25/125,132.37 = 33,501.45/x
  3. Step 3: Cross multiply
    83,422.25x = 125,132.37 × 33,501.45
  4. Step 4: Simplify right side
    83,422.25x = 4,192,115,836.94
  5. Step 5: Solve for x
    x = 4,192,115,836.94/83,422.25
  6. Step 6: Final answer
    x = 50,251.77

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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.