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Finding the Fourth Proportional to 83,660.62, 115,451.86 and 45,937.30

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Solution

The fourth proportional to 83,660.62, 115,451.86 and 45,937.30 is: 63,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,660.62 : 115,451.86 = 45,937.30 : x
  2. Step 2: Convert to fraction form
    83,660.62/115,451.86 = 45,937.30/x
  3. Step 3: Cross multiply
    83,660.62x = 115,451.86 × 45,937.30
  4. Step 4: Simplify right side
    83,660.62x = 5,303,546,728.38
  5. Step 5: Solve for x
    x = 5,303,546,728.38/83,660.62
  6. Step 6: Final answer
    x = 63,393.59

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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.