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Finding the Fourth Proportional to 51,876.20, 71,586.50 and 29,218.88

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Solution

The fourth proportional to 51,876.20, 71,586.50 and 29,218.88 is: 40,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876.20 : 71,586.50 = 29,218.88 : x
  2. Step 2: Convert to fraction form
    51,876.20/71,586.50 = 29,218.88/x
  3. Step 3: Cross multiply
    51,876.20x = 71,586.50 × 29,218.88
  4. Step 4: Simplify right side
    51,876.20x = 2,091,677,353.12
  5. Step 5: Solve for x
    x = 2,091,677,353.12/51,876.20
  6. Step 6: Final answer
    x = 40,320.56

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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.