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Finding the Fourth Proportional to 51,830.52, 71,529.73 and 29,171.68

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Solution

The fourth proportional to 51,830.52, 71,529.73 and 29,171.68 is: 40,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,830.52 : 71,529.73 = 29,171.68 : x
  2. Step 2: Convert to fraction form
    51,830.52/71,529.73 = 29,171.68/x
  3. Step 3: Cross multiply
    51,830.52x = 71,529.73 × 29,171.68
  4. Step 4: Simplify right side
    51,830.52x = 2,086,642,394.05
  5. Step 5: Solve for x
    x = 2,086,642,394.05/51,830.52
  6. Step 6: Final answer
    x = 40,258.95

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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.