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Finding the Fourth Proportional to 31,532.46, 43,514.46 and 17,385

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Solution

The fourth proportional to 31,532.46, 43,514.46 and 17,385 is: 23,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,532.46 : 43,514.46 = 17,385 : x
  2. Step 2: Convert to fraction form
    31,532.46/43,514.46 = 17,385/x
  3. Step 3: Cross multiply
    31,532.46x = 43,514.46 × 17,385
  4. Step 4: Simplify right side
    31,532.46x = 756,498,887.10
  5. Step 5: Solve for x
    x = 756,498,887.10/31,532.46
  6. Step 6: Final answer
    x = 23,991.12

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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.