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Finding the Fourth Proportional to 31,294.38, 43,178.52 and 18,550.54

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Solution

The fourth proportional to 31,294.38, 43,178.52 and 18,550.54 is: 25,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.38 : 43,178.52 = 18,550.54 : x
  2. Step 2: Convert to fraction form
    31,294.38/43,178.52 = 18,550.54/x
  3. Step 3: Cross multiply
    31,294.38x = 43,178.52 × 18,550.54
  4. Step 4: Simplify right side
    31,294.38x = 800,985,003.03
  5. Step 5: Solve for x
    x = 800,985,003.03/31,294.38
  6. Step 6: Final answer
    x = 25,595.17

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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.