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Finding the Fourth Proportional to 49,178.31, 67,865.73 and 27,957.57

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Solution

The fourth proportional to 49,178.31, 67,865.73 and 27,957.57 is: 38,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,178.31 : 67,865.73 = 27,957.57 : x
  2. Step 2: Convert to fraction form
    49,178.31/67,865.73 = 27,957.57/x
  3. Step 3: Cross multiply
    49,178.31x = 67,865.73 × 27,957.57
  4. Step 4: Simplify right side
    49,178.31x = 1,897,360,897.08
  5. Step 5: Solve for x
    x = 1,897,360,897.08/49,178.31
  6. Step 6: Final answer
    x = 38,581.25

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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.