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Finding the Fourth Proportional to 31,160.98, 43,003.17 and 17,014.90

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Solution

The fourth proportional to 31,160.98, 43,003.17 and 17,014.90 is: 23,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.98 : 43,003.17 = 17,014.90 : x
  2. Step 2: Convert to fraction form
    31,160.98/43,003.17 = 17,014.90/x
  3. Step 3: Cross multiply
    31,160.98x = 43,003.17 × 17,014.90
  4. Step 4: Simplify right side
    31,160.98x = 731,694,637.23
  5. Step 5: Solve for x
    x = 731,694,637.23/31,160.98
  6. Step 6: Final answer
    x = 23,481.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.