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Finding the Fourth Proportional to 83,509.52, 125,233.16 and 33,572.80

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Solution

The fourth proportional to 83,509.52, 125,233.16 and 33,572.80 is: 50,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509.52 : 125,233.16 = 33,572.80 : x
  2. Step 2: Convert to fraction form
    83,509.52/125,233.16 = 33,572.80/x
  3. Step 3: Cross multiply
    83,509.52x = 125,233.16 × 33,572.80
  4. Step 4: Simplify right side
    83,509.52x = 4,204,427,834.05
  5. Step 5: Solve for x
    x = 4,204,427,834.05/83,509.52
  6. Step 6: Final answer
    x = 50,346.69

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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.