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Finding the Fourth Proportional to 49,091.99, 67,742.91 and 27,580.55

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Solution

The fourth proportional to 49,091.99, 67,742.91 and 27,580.55 is: 38,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,091.99 : 67,742.91 = 27,580.55 : x
  2. Step 2: Convert to fraction form
    49,091.99/67,742.91 = 27,580.55/x
  3. Step 3: Cross multiply
    49,091.99x = 67,742.91 × 27,580.55
  4. Step 4: Simplify right side
    49,091.99x = 1,868,386,377.69
  5. Step 5: Solve for x
    x = 1,868,386,377.69/49,091.99
  6. Step 6: Final answer
    x = 38,058.89

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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.