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Finding the Fourth Proportional to 34,610.47, 47,780.81 and 27,729.62

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Solution

The fourth proportional to 34,610.47, 47,780.81 and 27,729.62 is: 38,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,610.47 : 47,780.81 = 27,729.62 : x
  2. Step 2: Convert to fraction form
    34,610.47/47,780.81 = 27,729.62/x
  3. Step 3: Cross multiply
    34,610.47x = 47,780.81 × 27,729.62
  4. Step 4: Simplify right side
    34,610.47x = 1,324,943,704.59
  5. Step 5: Solve for x
    x = 1,324,943,704.59/34,610.47
  6. Step 6: Final answer
    x = 38,281.59

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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.