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Finding the Fourth Proportional to 83,415.84, 115,115.36 and 45,687.66

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Solution

The fourth proportional to 83,415.84, 115,115.36 and 45,687.66 is: 63,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.84 : 115,115.36 = 45,687.66 : x
  2. Step 2: Convert to fraction form
    83,415.84/115,115.36 = 45,687.66/x
  3. Step 3: Cross multiply
    83,415.84x = 115,115.36 × 45,687.66
  4. Step 4: Simplify right side
    83,415.84x = 5,259,351,200.02
  5. Step 5: Solve for x
    x = 5,259,351,200.02/83,415.84
  6. Step 6: Final answer
    x = 63,049.79

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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.