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Finding the Fourth Proportional to 81,282.50, 121,813.05 and 45,760.76

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Solution

The fourth proportional to 81,282.50, 121,813.05 and 45,760.76 is: 68,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282.50 : 121,813.05 = 45,760.76 : x
  2. Step 2: Convert to fraction form
    81,282.50/121,813.05 = 45,760.76/x
  3. Step 3: Cross multiply
    81,282.50x = 121,813.05 × 45,760.76
  4. Step 4: Simplify right side
    81,282.50x = 5,574,257,745.92
  5. Step 5: Solve for x
    x = 5,574,257,745.92/81,282.50
  6. Step 6: Final answer
    x = 68,578.82

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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.