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Finding the Fourth Proportional to 31,559.29, 43,549.84 and 17,412.23

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Solution

The fourth proportional to 31,559.29, 43,549.84 and 17,412.23 is: 24,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,559.29 : 43,549.84 = 17,412.23 : x
  2. Step 2: Convert to fraction form
    31,559.29/43,549.84 = 17,412.23/x
  3. Step 3: Cross multiply
    31,559.29x = 43,549.84 × 17,412.23
  4. Step 4: Simplify right side
    31,559.29x = 758,299,830.54
  5. Step 5: Solve for x
    x = 758,299,830.54/31,559.29
  6. Step 6: Final answer
    x = 24,027.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.