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Finding the Fourth Proportional to 49,027.48, 67,647.90 and 27,801.16

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Solution

The fourth proportional to 49,027.48, 67,647.90 and 27,801.16 is: 38,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,027.48 : 67,647.90 = 27,801.16 : x
  2. Step 2: Convert to fraction form
    49,027.48/67,647.90 = 27,801.16/x
  3. Step 3: Cross multiply
    49,027.48x = 67,647.90 × 27,801.16
  4. Step 4: Simplify right side
    49,027.48x = 1,880,690,091.56
  5. Step 5: Solve for x
    x = 1,880,690,091.56/49,027.48
  6. Step 6: Final answer
    x = 38,359.92

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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.