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Finding the Fourth Proportional to 31,749.28, 43,813.80 and 17,602.12

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Solution

The fourth proportional to 31,749.28, 43,813.80 and 17,602.12 is: 24,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,749.28 : 43,813.80 = 17,602.12 : x
  2. Step 2: Convert to fraction form
    31,749.28/43,813.80 = 17,602.12/x
  3. Step 3: Cross multiply
    31,749.28x = 43,813.80 × 17,602.12
  4. Step 4: Simplify right side
    31,749.28x = 771,215,765.26
  5. Step 5: Solve for x
    x = 771,215,765.26/31,749.28
  6. Step 6: Final answer
    x = 24,290.81

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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.