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Finding the Fourth Proportional to 95,694.88, 132,082.38 and 74,142

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Solution

The fourth proportional to 95,694.88, 132,082.38 and 74,142 is: 102,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,694.88 : 132,082.38 = 74,142 : x
  2. Step 2: Convert to fraction form
    95,694.88/132,082.38 = 74,142/x
  3. Step 3: Cross multiply
    95,694.88x = 132,082.38 × 74,142
  4. Step 4: Simplify right side
    95,694.88x = 9,792,851,817.96
  5. Step 5: Solve for x
    x = 9,792,851,817.96/95,694.88
  6. Step 6: Final answer
    x = 102,334.13

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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.