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Finding the Fourth Proportional to 31,229.40, 43,096.38 and 17,801.22

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Solution

The fourth proportional to 31,229.40, 43,096.38 and 17,801.22 is: 24,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.40 : 43,096.38 = 17,801.22 : x
  2. Step 2: Convert to fraction form
    31,229.40/43,096.38 = 17,801.22/x
  3. Step 3: Cross multiply
    31,229.40x = 43,096.38 × 17,801.22
  4. Step 4: Simplify right side
    31,229.40x = 767,168,141.58
  5. Step 5: Solve for x
    x = 767,168,141.58/31,229.40
  6. Step 6: Final answer
    x = 24,565.57

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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.