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Finding the Fourth Proportional to 31,590.38, 43,601.55 and 21,542.81

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Solution

The fourth proportional to 31,590.38, 43,601.55 and 21,542.81 is: 29,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,590.38 : 43,601.55 = 21,542.81 : x
  2. Step 2: Convert to fraction form
    31,590.38/43,601.55 = 21,542.81/x
  3. Step 3: Cross multiply
    31,590.38x = 43,601.55 × 21,542.81
  4. Step 4: Simplify right side
    31,590.38x = 939,299,907.36
  5. Step 5: Solve for x
    x = 939,299,907.36/31,590.38
  6. Step 6: Final answer
    x = 29,733.73

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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.