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Finding the Fourth Proportional to 41,697, 57,542.40 and 22,833.72

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Solution

The fourth proportional to 41,697, 57,542.40 and 22,833.72 is: 31,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,697 : 57,542.40 = 22,833.72 : x
  2. Step 2: Convert to fraction form
    41,697/57,542.40 = 22,833.72/x
  3. Step 3: Cross multiply
    41,697x = 57,542.40 × 22,833.72
  4. Step 4: Simplify right side
    41,697x = 1,313,907,049.73
  5. Step 5: Solve for x
    x = 1,313,907,049.73/41,697
  6. Step 6: Final answer
    x = 31,510.83

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1.5x scale

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.