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Finding the Fourth Proportional to 31,160.46, 43,001.78 and 17,014.22

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Solution

The fourth proportional to 31,160.46, 43,001.78 and 17,014.22 is: 23,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.46 : 43,001.78 = 17,014.22 : x
  2. Step 2: Convert to fraction form
    31,160.46/43,001.78 = 17,014.22/x
  3. Step 3: Cross multiply
    31,160.46x = 43,001.78 × 17,014.22
  4. Step 4: Simplify right side
    31,160.46x = 731,641,445.23
  5. Step 5: Solve for x
    x = 731,641,445.23/31,160.46
  6. Step 6: Final answer
    x = 23,479.80

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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.