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Finding the Fourth Proportional to 83,458.31, 125,195.16 and 27,298.73

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Solution

The fourth proportional to 83,458.31, 125,195.16 and 27,298.73 is: 40,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,458.31 : 125,195.16 = 27,298.73 : x
  2. Step 2: Convert to fraction form
    83,458.31/125,195.16 = 27,298.73/x
  3. Step 3: Cross multiply
    83,458.31x = 125,195.16 × 27,298.73
  4. Step 4: Simplify right side
    83,458.31x = 3,417,669,285.50
  5. Step 5: Solve for x
    x = 3,417,669,285.50/83,458.31
  6. Step 6: Final answer
    x = 40,950.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.