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Finding the Fourth Proportional to 56,902.33, 85,311.24 and 27,291.97

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Solution

The fourth proportional to 56,902.33, 85,311.24 and 27,291.97 is: 40,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,902.33 : 85,311.24 = 27,291.97 : x
  2. Step 2: Convert to fraction form
    56,902.33/85,311.24 = 27,291.97/x
  3. Step 3: Cross multiply
    56,902.33x = 85,311.24 × 27,291.97
  4. Step 4: Simplify right side
    56,902.33x = 2,328,311,802.74
  5. Step 5: Solve for x
    x = 2,328,311,802.74/56,902.33
  6. Step 6: Final answer
    x = 40,917.69

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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.