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Finding the Fourth Proportional to 61,731.33, 85,184.82 and 36,238.74

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Solution

The fourth proportional to 61,731.33, 85,184.82 and 36,238.74 is: 50,006.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,731.33 : 85,184.82 = 36,238.74 : x
  2. Step 2: Convert to fraction form
    61,731.33/85,184.82 = 36,238.74/x
  3. Step 3: Cross multiply
    61,731.33x = 85,184.82 × 36,238.74
  4. Step 4: Simplify right side
    61,731.33x = 3,086,990,543.93
  5. Step 5: Solve for x
    x = 3,086,990,543.93/61,731.33
  6. Step 6: Final answer
    x = 50,006.87

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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.