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Finding the Fourth Proportional to 83,506, 125,227.92 and 33,569.30

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Solution

The fourth proportional to 83,506, 125,227.92 and 33,569.30 is: 50,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,506 : 125,227.92 = 33,569.30 : x
  2. Step 2: Convert to fraction form
    83,506/125,227.92 = 33,569.30/x
  3. Step 3: Cross multiply
    83,506x = 125,227.92 × 33,569.30
  4. Step 4: Simplify right side
    83,506x = 4,203,813,614.86
  5. Step 5: Solve for x
    x = 4,203,813,614.86/83,506
  6. Step 6: Final answer
    x = 50,341.46

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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.