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Finding the Fourth Proportional to 83,612.37, 115,377.45 and 49,615

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Solution

The fourth proportional to 83,612.37, 115,377.45 and 49,615 is: 68,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,612.37 : 115,377.45 = 49,615 : x
  2. Step 2: Convert to fraction form
    83,612.37/115,377.45 = 49,615/x
  3. Step 3: Cross multiply
    83,612.37x = 115,377.45 × 49,615
  4. Step 4: Simplify right side
    83,612.37x = 5,724,452,181.75
  5. Step 5: Solve for x
    x = 5,724,452,181.75/83,612.37
  6. Step 6: Final answer
    x = 68,464.18

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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.