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Finding the Fourth Proportional to 83,426.92, 115,131 and 47,616.19

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Solution

The fourth proportional to 83,426.92, 115,131 and 47,616.19 is: 65,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,426.92 : 115,131 = 47,616.19 : x
  2. Step 2: Convert to fraction form
    83,426.92/115,131 = 47,616.19/x
  3. Step 3: Cross multiply
    83,426.92x = 115,131 × 47,616.19
  4. Step 4: Simplify right side
    83,426.92x = 5,482,099,570.89
  5. Step 5: Solve for x
    x = 5,482,099,570.89/83,426.92
  6. Step 6: Final answer
    x = 65,711.40

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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.