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Finding the Fourth Proportional to 95,126.40, 142,689.52 and 32,792

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Solution

The fourth proportional to 95,126.40, 142,689.52 and 32,792 is: 49,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,126.40 : 142,689.52 = 32,792 : x
  2. Step 2: Convert to fraction form
    95,126.40/142,689.52 = 32,792/x
  3. Step 3: Cross multiply
    95,126.40x = 142,689.52 × 32,792
  4. Step 4: Simplify right side
    95,126.40x = 4,679,074,739.84
  5. Step 5: Solve for x
    x = 4,679,074,739.84/95,126.40
  6. Step 6: Final answer
    x = 49,187.97

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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.