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Finding the Fourth Proportional to 49,195.46, 67,883.49 and 27,975.17

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Solution

The fourth proportional to 49,195.46, 67,883.49 and 27,975.17 is: 38,602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195.46 : 67,883.49 = 27,975.17 : x
  2. Step 2: Convert to fraction form
    49,195.46/67,883.49 = 27,975.17/x
  3. Step 3: Cross multiply
    49,195.46x = 67,883.49 × 27,975.17
  4. Step 4: Simplify right side
    49,195.46x = 1,899,051,833.53
  5. Step 5: Solve for x
    x = 1,899,051,833.53/49,195.46
  6. Step 6: Final answer
    x = 38,602.18

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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.