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Finding the Fourth Proportional to 56,231.78, 84,305.52 and 34,039.80

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Solution

The fourth proportional to 56,231.78, 84,305.52 and 34,039.80 is: 51,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,231.78 : 84,305.52 = 34,039.80 : x
  2. Step 2: Convert to fraction form
    56,231.78/84,305.52 = 34,039.80/x
  3. Step 3: Cross multiply
    56,231.78x = 84,305.52 × 34,039.80
  4. Step 4: Simplify right side
    56,231.78x = 2,869,743,039.70
  5. Step 5: Solve for x
    x = 2,869,743,039.70/56,231.78
  6. Step 6: Final answer
    x = 51,034.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.