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Finding the Fourth Proportional to 83,250.34, 114,883.13 and 45,523.78

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Solution

The fourth proportional to 83,250.34, 114,883.13 and 45,523.78 is: 62,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,250.34 : 114,883.13 = 45,523.78 : x
  2. Step 2: Convert to fraction form
    83,250.34/114,883.13 = 45,523.78/x
  3. Step 3: Cross multiply
    83,250.34x = 114,883.13 × 45,523.78
  4. Step 4: Simplify right side
    83,250.34x = 5,229,914,335.83
  5. Step 5: Solve for x
    x = 5,229,914,335.83/83,250.34
  6. Step 6: Final answer
    x = 62,821.54

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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.