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Finding the Fourth Proportional to 83,986.50, 125,978.99 and 34,054.73

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Solution

The fourth proportional to 83,986.50, 125,978.99 and 34,054.73 is: 51,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,986.50 : 125,978.99 = 34,054.73 : x
  2. Step 2: Convert to fraction form
    83,986.50/125,978.99 = 34,054.73/x
  3. Step 3: Cross multiply
    83,986.50x = 125,978.99 × 34,054.73
  4. Step 4: Simplify right side
    83,986.50x = 4,290,179,689.95
  5. Step 5: Solve for x
    x = 4,290,179,689.95/83,986.50
  6. Step 6: Final answer
    x = 51,081.78

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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.