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Finding the Fourth Proportional to 51,685.97, 71,329.34 and 29,023.79

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Solution

The fourth proportional to 51,685.97, 71,329.34 and 29,023.79 is: 40,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,685.97 : 71,329.34 = 29,023.79 : x
  2. Step 2: Convert to fraction form
    51,685.97/71,329.34 = 29,023.79/x
  3. Step 3: Cross multiply
    51,685.97x = 71,329.34 × 29,023.79
  4. Step 4: Simplify right side
    51,685.97x = 2,070,247,500.91
  5. Step 5: Solve for x
    x = 2,070,247,500.91/51,685.97
  6. Step 6: Final answer
    x = 40,054.35

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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.