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Finding the Fourth Proportional to 83,417.87, 125,132.64 and 33,497.97

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Solution

The fourth proportional to 83,417.87, 125,132.64 and 33,497.97 is: 50,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,417.87 : 125,132.64 = 33,497.97 : x
  2. Step 2: Convert to fraction form
    83,417.87/125,132.64 = 33,497.97/x
  3. Step 3: Cross multiply
    83,417.87x = 125,132.64 × 33,497.97
  4. Step 4: Simplify right side
    83,417.87x = 4,191,689,035.24
  5. Step 5: Solve for x
    x = 4,191,689,035.24/83,417.87
  6. Step 6: Final answer
    x = 50,249.29

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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.