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Finding the Fourth Proportional to 85,286.40, 117,685.38 and 49,463.40

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Solution

The fourth proportional to 85,286.40, 117,685.38 and 49,463.40 is: 68,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,286.40 : 117,685.38 = 49,463.40 : x
  2. Step 2: Convert to fraction form
    85,286.40/117,685.38 = 49,463.40/x
  3. Step 3: Cross multiply
    85,286.40x = 117,685.38 × 49,463.40
  4. Step 4: Simplify right side
    85,286.40x = 5,821,119,025.09
  5. Step 5: Solve for x
    x = 5,821,119,025.09/85,286.40
  6. Step 6: Final answer
    x = 68,253.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.