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Finding the Fourth Proportional to 31,443.64, 43,398.38 and 18,023.89

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Solution

The fourth proportional to 31,443.64, 43,398.38 and 18,023.89 is: 24,876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.64 : 43,398.38 = 18,023.89 : x
  2. Step 2: Convert to fraction form
    31,443.64/43,398.38 = 18,023.89/x
  3. Step 3: Cross multiply
    31,443.64x = 43,398.38 × 18,023.89
  4. Step 4: Simplify right side
    31,443.64x = 782,207,627.30
  5. Step 5: Solve for x
    x = 782,207,627.30/31,443.64
  6. Step 6: Final answer
    x = 24,876.50

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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.