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Finding the Fourth Proportional to 127,956.38, 191,934.56 and 34,462.13

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Solution

The fourth proportional to 127,956.38, 191,934.56 and 34,462.13 is: 51,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,956.38 : 191,934.56 = 34,462.13 : x
  2. Step 2: Convert to fraction form
    127,956.38/191,934.56 = 34,462.13/x
  3. Step 3: Cross multiply
    127,956.38x = 191,934.56 × 34,462.13
  4. Step 4: Simplify right side
    127,956.38x = 6,614,472,884.70
  5. Step 5: Solve for x
    x = 6,614,472,884.70/127,956.38
  6. Step 6: Final answer
    x = 51,693.19

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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.