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Finding the Fourth Proportional to 51,034.68, 70,414.56 and 29,801.88

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Solution

The fourth proportional to 51,034.68, 70,414.56 and 29,801.88 is: 41,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.68 : 70,414.56 = 29,801.88 : x
  2. Step 2: Convert to fraction form
    51,034.68/70,414.56 = 29,801.88/x
  3. Step 3: Cross multiply
    51,034.68x = 70,414.56 × 29,801.88
  4. Step 4: Simplify right side
    51,034.68x = 2,098,486,267.37
  5. Step 5: Solve for x
    x = 2,098,486,267.37/51,034.68
  6. Step 6: Final answer
    x = 41,118.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.