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Finding the Fourth Proportional to 49,072.94, 67,722.72 and 27,854.18

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Solution

The fourth proportional to 49,072.94, 67,722.72 and 27,854.18 is: 38,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,072.94 : 67,722.72 = 27,854.18 : x
  2. Step 2: Convert to fraction form
    49,072.94/67,722.72 = 27,854.18/x
  3. Step 3: Cross multiply
    49,072.94x = 67,722.72 × 27,854.18
  4. Step 4: Simplify right side
    49,072.94x = 1,886,360,832.97
  5. Step 5: Solve for x
    x = 1,886,360,832.97/49,072.94
  6. Step 6: Final answer
    x = 38,439.94

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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.