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Finding the Fourth Proportional to 82,691.28, 114,113.88 and 44,965.26

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Solution

The fourth proportional to 82,691.28, 114,113.88 and 44,965.26 is: 62,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691.28 : 114,113.88 = 44,965.26 : x
  2. Step 2: Convert to fraction form
    82,691.28/114,113.88 = 44,965.26/x
  3. Step 3: Cross multiply
    82,691.28x = 114,113.88 × 44,965.26
  4. Step 4: Simplify right side
    82,691.28x = 5,131,160,283.81
  5. Step 5: Solve for x
    x = 5,131,160,283.81/82,691.28
  6. Step 6: Final answer
    x = 62,052.01

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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.