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Finding the Fourth Proportional to 31,570.33, 43,565.69 and 17,229.80

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Solution

The fourth proportional to 31,570.33, 43,565.69 and 17,229.80 is: 23,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,570.33 : 43,565.69 = 17,229.80 : x
  2. Step 2: Convert to fraction form
    31,570.33/43,565.69 = 17,229.80/x
  3. Step 3: Cross multiply
    31,570.33x = 43,565.69 × 17,229.80
  4. Step 4: Simplify right side
    31,570.33x = 750,628,125.56
  5. Step 5: Solve for x
    x = 750,628,125.56/31,570.33
  6. Step 6: Final answer
    x = 23,776.38

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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.