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Finding the Fourth Proportional to 83,340.46, 125,023.68 and 27,923.50

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Solution

The fourth proportional to 83,340.46, 125,023.68 and 27,923.50 is: 41,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,340.46 : 125,023.68 = 27,923.50 : x
  2. Step 2: Convert to fraction form
    83,340.46/125,023.68 = 27,923.50/x
  3. Step 3: Cross multiply
    83,340.46x = 125,023.68 × 27,923.50
  4. Step 4: Simplify right side
    83,340.46x = 3,491,098,728.48
  5. Step 5: Solve for x
    x = 3,491,098,728.48/83,340.46
  6. Step 6: Final answer
    x = 41,889.60

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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.