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Finding the Fourth Proportional to 31,159.38, 42,999.60 and 19,217.94

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Solution

The fourth proportional to 31,159.38, 42,999.60 and 19,217.94 is: 26,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.38 : 42,999.60 = 19,217.94 : x
  2. Step 2: Convert to fraction form
    31,159.38/42,999.60 = 19,217.94/x
  3. Step 3: Cross multiply
    31,159.38x = 42,999.60 × 19,217.94
  4. Step 4: Simplify right side
    31,159.38x = 826,363,732.82
  5. Step 5: Solve for x
    x = 826,363,732.82/31,159.38
  6. Step 6: Final answer
    x = 26,520.54

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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.