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Finding the Fourth Proportional to 31,224.88, 43,091.07 and 17,797.38

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Solution

The fourth proportional to 31,224.88, 43,091.07 and 17,797.38 is: 24,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.88 : 43,091.07 = 17,797.38 : x
  2. Step 2: Convert to fraction form
    31,224.88/43,091.07 = 17,797.38/x
  3. Step 3: Cross multiply
    31,224.88x = 43,091.07 × 17,797.38
  4. Step 4: Simplify right side
    31,224.88x = 766,908,147.40
  5. Step 5: Solve for x
    x = 766,908,147.40/31,224.88
  6. Step 6: Final answer
    x = 24,560.80

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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.