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Finding the Fourth Proportional to 83,452.32, 115,135.44 and 47,616.48

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Solution

The fourth proportional to 83,452.32, 115,135.44 and 47,616.48 is: 65,694.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,452.32 : 115,135.44 = 47,616.48 : x
  2. Step 2: Convert to fraction form
    83,452.32/115,135.44 = 47,616.48/x
  3. Step 3: Cross multiply
    83,452.32x = 115,135.44 × 47,616.48
  4. Step 4: Simplify right side
    83,452.32x = 5,482,344,376.05
  5. Step 5: Solve for x
    x = 5,482,344,376.05/83,452.32
  6. Step 6: Final answer
    x = 65,694.33

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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.