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Finding the Fourth Proportional to 55,464.92, 83,197.74 and 22,187.80

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Solution

The fourth proportional to 55,464.92, 83,197.74 and 22,187.80 is: 33,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,464.92 : 83,197.74 = 22,187.80 : x
  2. Step 2: Convert to fraction form
    55,464.92/83,197.74 = 22,187.80/x
  3. Step 3: Cross multiply
    55,464.92x = 83,197.74 × 22,187.80
  4. Step 4: Simplify right side
    55,464.92x = 1,845,974,815.57
  5. Step 5: Solve for x
    x = 1,845,974,815.57/55,464.92
  6. Step 6: Final answer
    x = 33,281.84

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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.