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Finding the Fourth Proportional to 27,781.67, 38,338.41 and 15,034.57

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Solution

The fourth proportional to 27,781.67, 38,338.41 and 15,034.57 is: 20,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,781.67 : 38,338.41 = 15,034.57 : x
  2. Step 2: Convert to fraction form
    27,781.67/38,338.41 = 15,034.57/x
  3. Step 3: Cross multiply
    27,781.67x = 38,338.41 × 15,034.57
  4. Step 4: Simplify right side
    27,781.67x = 576,401,529.51
  5. Step 5: Solve for x
    x = 576,401,529.51/27,781.67
  6. Step 6: Final answer
    x = 20,747.55

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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.