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Finding the Fourth Proportional to 84,248.64, 126,337.82 and 34,294.82

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Solution

The fourth proportional to 84,248.64, 126,337.82 and 34,294.82 is: 51,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,248.64 : 126,337.82 = 34,294.82 : x
  2. Step 2: Convert to fraction form
    84,248.64/126,337.82 = 34,294.82/x
  3. Step 3: Cross multiply
    84,248.64x = 126,337.82 × 34,294.82
  4. Step 4: Simplify right side
    84,248.64x = 4,332,733,042.00
  5. Step 5: Solve for x
    x = 4,332,733,042.00/84,248.64
  6. Step 6: Final answer
    x = 51,427.93

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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.