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Finding the Fourth Proportional to 31,451.74, 43,403.16 and 17,842.38

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Solution

The fourth proportional to 31,451.74, 43,403.16 and 17,842.38 is: 24,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.74 : 43,403.16 = 17,842.38 : x
  2. Step 2: Convert to fraction form
    31,451.74/43,403.16 = 17,842.38/x
  3. Step 3: Cross multiply
    31,451.74x = 43,403.16 × 17,842.38
  4. Step 4: Simplify right side
    31,451.74x = 774,415,673.92
  5. Step 5: Solve for x
    x = 774,415,673.92/31,451.74
  6. Step 6: Final answer
    x = 24,622.35

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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.