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Finding the Fourth Proportional to 41,854.32, 57,759 and 22,992.66

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Solution

The fourth proportional to 41,854.32, 57,759 and 22,992.66 is: 31,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854.32 : 57,759 = 22,992.66 : x
  2. Step 2: Convert to fraction form
    41,854.32/57,759 = 22,992.66/x
  3. Step 3: Cross multiply
    41,854.32x = 57,759 × 22,992.66
  4. Step 4: Simplify right side
    41,854.32x = 1,328,033,048.94
  5. Step 5: Solve for x
    x = 1,328,033,048.94/41,854.32
  6. Step 6: Final answer
    x = 31,729.89

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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.