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Finding the Fourth Proportional to 92,097.42, 127,101.82 and 51,808.78

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Solution

The fourth proportional to 92,097.42, 127,101.82 and 51,808.78 is: 71,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097.42 : 127,101.82 = 51,808.78 : x
  2. Step 2: Convert to fraction form
    92,097.42/127,101.82 = 51,808.78/x
  3. Step 3: Cross multiply
    92,097.42x = 127,101.82 × 51,808.78
  4. Step 4: Simplify right side
    92,097.42x = 6,584,990,229.98
  5. Step 5: Solve for x
    x = 6,584,990,229.98/92,097.42
  6. Step 6: Final answer
    x = 71,500.27

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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.