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Finding the Fourth Proportional to 83,249.34, 114,881.75 and 45,522.78

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Solution

The fourth proportional to 83,249.34, 114,881.75 and 45,522.78 is: 62,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,249.34 : 114,881.75 = 45,522.78 : x
  2. Step 2: Convert to fraction form
    83,249.34/114,881.75 = 45,522.78/x
  3. Step 3: Cross multiply
    83,249.34x = 114,881.75 × 45,522.78
  4. Step 4: Simplify right side
    83,249.34x = 5,229,736,143.55
  5. Step 5: Solve for x
    x = 5,229,736,143.55/83,249.34
  6. Step 6: Final answer
    x = 62,820.15

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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.