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Finding the Fourth Proportional to 31,162.38, 43,003.74 and 19,220.94

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Solution

The fourth proportional to 31,162.38, 43,003.74 and 19,220.94 is: 26,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,162.38 : 43,003.74 = 19,220.94 : x
  2. Step 2: Convert to fraction form
    31,162.38/43,003.74 = 19,220.94/x
  3. Step 3: Cross multiply
    31,162.38x = 43,003.74 × 19,220.94
  4. Step 4: Simplify right side
    31,162.38x = 826,572,306.32
  5. Step 5: Solve for x
    x = 826,572,306.32/31,162.38
  6. Step 6: Final answer
    x = 26,524.68

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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.