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Finding the Fourth Proportional to 55,794, 83,691.44 and 20,733.63

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Solution

The fourth proportional to 55,794, 83,691.44 and 20,733.63 is: 31,100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,794 : 83,691.44 = 20,733.63 : x
  2. Step 2: Convert to fraction form
    55,794/83,691.44 = 20,733.63/x
  3. Step 3: Cross multiply
    55,794x = 83,691.44 × 20,733.63
  4. Step 4: Simplify right side
    55,794x = 1,735,227,351.13
  5. Step 5: Solve for x
    x = 1,735,227,351.13/55,794
  6. Step 6: Final answer
    x = 31,100.61

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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.