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Finding the Fourth Proportional to 83,337.75, 115,006.10 and 45,612

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Solution

The fourth proportional to 83,337.75, 115,006.10 and 45,612 is: 62,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,337.75 : 115,006.10 = 45,612 : x
  2. Step 2: Convert to fraction form
    83,337.75/115,006.10 = 45,612/x
  3. Step 3: Cross multiply
    83,337.75x = 115,006.10 × 45,612
  4. Step 4: Simplify right side
    83,337.75x = 5,245,658,005.14
  5. Step 5: Solve for x
    x = 5,245,658,005.14/83,337.75
  6. Step 6: Final answer
    x = 62,944.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.