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Finding the Fourth Proportional to 49,657.64, 68,517.74 and 27,854.64

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Solution

The fourth proportional to 49,657.64, 68,517.74 and 27,854.64 is: 38,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,657.64 : 68,517.74 = 27,854.64 : x
  2. Step 2: Convert to fraction form
    49,657.64/68,517.74 = 27,854.64/x
  3. Step 3: Cross multiply
    49,657.64x = 68,517.74 × 27,854.64
  4. Step 4: Simplify right side
    49,657.64x = 1,908,536,981.31
  5. Step 5: Solve for x
    x = 1,908,536,981.31/49,657.64
  6. Step 6: Final answer
    x = 38,433.90

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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.