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Finding the Fourth Proportional to 31,684.95, 43,725.13 and 17,149.12

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Solution

The fourth proportional to 31,684.95, 43,725.13 and 17,149.12 is: 23,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.95 : 43,725.13 = 17,149.12 : x
  2. Step 2: Convert to fraction form
    31,684.95/43,725.13 = 17,149.12/x
  3. Step 3: Cross multiply
    31,684.95x = 43,725.13 × 17,149.12
  4. Step 4: Simplify right side
    31,684.95x = 749,847,349.20
  5. Step 5: Solve for x
    x = 749,847,349.20/31,684.95
  6. Step 6: Final answer
    x = 23,665.73

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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.