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Finding the Fourth Proportional to 31,532.42, 43,513.84 and 17,385.28

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Solution

The fourth proportional to 31,532.42, 43,513.84 and 17,385.28 is: 23,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.42 : 43,513.84 = 17,385.28 : x
  2. Step 2: Convert to fraction form
    31,532.42/43,513.84 = 17,385.28/x
  3. Step 3: Cross multiply
    31,532.42x = 43,513.84 × 17,385.28
  4. Step 4: Simplify right side
    31,532.42x = 756,500,292.28
  5. Step 5: Solve for x
    x = 756,500,292.28/31,532.42
  6. Step 6: Final answer
    x = 23,991.19

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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.