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Finding the Fourth Proportional to 83,415, 125,127.96 and 33,488.52

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Solution

The fourth proportional to 83,415, 125,127.96 and 33,488.52 is: 50,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415 : 125,127.96 = 33,488.52 : x
  2. Step 2: Convert to fraction form
    83,415/125,127.96 = 33,488.52/x
  3. Step 3: Cross multiply
    83,415x = 125,127.96 × 33,488.52
  4. Step 4: Simplify right side
    83,415x = 4,190,350,191.02
  5. Step 5: Solve for x
    x = 4,190,350,191.02/83,415
  6. Step 6: Final answer
    x = 50,234.97

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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.