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Finding the Fourth Proportional to 55,462.92, 83,194.74 and 22,185.80

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Solution

The fourth proportional to 55,462.92, 83,194.74 and 22,185.80 is: 33,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462.92 : 83,194.74 = 22,185.80 : x
  2. Step 2: Convert to fraction form
    55,462.92/83,194.74 = 22,185.80/x
  3. Step 3: Cross multiply
    55,462.92x = 83,194.74 × 22,185.80
  4. Step 4: Simplify right side
    55,462.92x = 1,845,741,862.69
  5. Step 5: Solve for x
    x = 1,845,741,862.69/55,462.92
  6. Step 6: Final answer
    x = 33,278.84

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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.