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Finding the Fourth Proportional to 27,720.60, 41,576.36 and 7,731.46

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Solution

The fourth proportional to 27,720.60, 41,576.36 and 7,731.46 is: 11,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720.60 : 41,576.36 = 7,731.46 : x
  2. Step 2: Convert to fraction form
    27,720.60/41,576.36 = 7,731.46/x
  3. Step 3: Cross multiply
    27,720.60x = 41,576.36 × 7,731.46
  4. Step 4: Simplify right side
    27,720.60x = 321,445,789.27
  5. Step 5: Solve for x
    x = 321,445,789.27/27,720.60
  6. Step 6: Final answer
    x = 11,595.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.