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Finding the Fourth Proportional to 55,906.86, 83,866.17 and 27,833.88

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Solution

The fourth proportional to 55,906.86, 83,866.17 and 27,833.88 is: 41,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,906.86 : 83,866.17 = 27,833.88 : x
  2. Step 2: Convert to fraction form
    55,906.86/83,866.17 = 27,833.88/x
  3. Step 3: Cross multiply
    55,906.86x = 83,866.17 × 27,833.88
  4. Step 4: Simplify right side
    55,906.86x = 2,334,320,911.84
  5. Step 5: Solve for x
    x = 2,334,320,911.84/55,906.86
  6. Step 6: Final answer
    x = 41,753.75

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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.