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Finding the Fourth Proportional to 83,013.85, 114,524.44 and 54,340.53

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Solution

The fourth proportional to 83,013.85, 114,524.44 and 54,340.53 is: 74,967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,013.85 : 114,524.44 = 54,340.53 : x
  2. Step 2: Convert to fraction form
    83,013.85/114,524.44 = 54,340.53/x
  3. Step 3: Cross multiply
    83,013.85x = 114,524.44 × 54,340.53
  4. Step 4: Simplify right side
    83,013.85x = 6,223,318,767.55
  5. Step 5: Solve for x
    x = 6,223,318,767.55/83,013.85
  6. Step 6: Final answer
    x = 74,967.23

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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.