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Finding the Fourth Proportional to 82,691.52, 114,113.49 and 44,965.74

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Solution

The fourth proportional to 82,691.52, 114,113.49 and 44,965.74 is: 62,052.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691.52 : 114,113.49 = 44,965.74 : x
  2. Step 2: Convert to fraction form
    82,691.52/114,113.49 = 44,965.74/x
  3. Step 3: Cross multiply
    82,691.52x = 114,113.49 × 44,965.74
  4. Step 4: Simplify right side
    82,691.52x = 5,131,197,521.83
  5. Step 5: Solve for x
    x = 5,131,197,521.83/82,691.52
  6. Step 6: Final answer
    x = 62,052.28

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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.