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Finding the Fourth Proportional to 49,464.86, 68,264.85 and 27,947.15

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Solution

The fourth proportional to 49,464.86, 68,264.85 and 27,947.15 is: 38,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,464.86 : 68,264.85 = 27,947.15 : x
  2. Step 2: Convert to fraction form
    49,464.86/68,264.85 = 27,947.15/x
  3. Step 3: Cross multiply
    49,464.86x = 68,264.85 × 27,947.15
  4. Step 4: Simplify right side
    49,464.86x = 1,907,807,661.35
  5. Step 5: Solve for x
    x = 1,907,807,661.35/49,464.86
  6. Step 6: Final answer
    x = 38,568.95

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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.