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Finding the Fourth Proportional to 82,691.96, 124,052.82 and 30,175.16

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Solution

The fourth proportional to 82,691.96, 124,052.82 and 30,175.16 is: 45,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691.96 : 124,052.82 = 30,175.16 : x
  2. Step 2: Convert to fraction form
    82,691.96/124,052.82 = 30,175.16/x
  3. Step 3: Cross multiply
    82,691.96x = 124,052.82 × 30,175.16
  4. Step 4: Simplify right side
    82,691.96x = 3,743,313,691.95
  5. Step 5: Solve for x
    x = 3,743,313,691.95/82,691.96
  6. Step 6: Final answer
    x = 45,268.17

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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.