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Finding the Fourth Proportional to 92,106.62, 127,098.14 and 51,819.54

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Solution

The fourth proportional to 92,106.62, 127,098.14 and 51,819.54 is: 71,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106.62 : 127,098.14 = 51,819.54 : x
  2. Step 2: Convert to fraction form
    92,106.62/127,098.14 = 51,819.54/x
  3. Step 3: Cross multiply
    92,106.62x = 127,098.14 × 51,819.54
  4. Step 4: Simplify right side
    92,106.62x = 6,586,167,149.66
  5. Step 5: Solve for x
    x = 6,586,167,149.66/92,106.62
  6. Step 6: Final answer
    x = 71,505.90

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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.