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Finding the Fourth Proportional to 31,757.10, 43,824.03 and 17,610.06

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Solution

The fourth proportional to 31,757.10, 43,824.03 and 17,610.06 is: 24,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.10 : 43,824.03 = 17,610.06 : x
  2. Step 2: Convert to fraction form
    31,757.10/43,824.03 = 17,610.06/x
  3. Step 3: Cross multiply
    31,757.10x = 43,824.03 × 17,610.06
  4. Step 4: Simplify right side
    31,757.10x = 771,743,797.74
  5. Step 5: Solve for x
    x = 771,743,797.74/31,757.10
  6. Step 6: Final answer
    x = 24,301.46

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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.