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Finding the Fourth Proportional to 55,107.60, 82,661.40 and 18,166.80

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Solution

The fourth proportional to 55,107.60, 82,661.40 and 18,166.80 is: 27,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,107.60 : 82,661.40 = 18,166.80 : x
  2. Step 2: Convert to fraction form
    55,107.60/82,661.40 = 18,166.80/x
  3. Step 3: Cross multiply
    55,107.60x = 82,661.40 × 18,166.80
  4. Step 4: Simplify right side
    55,107.60x = 1,501,693,121.52
  5. Step 5: Solve for x
    x = 1,501,693,121.52/55,107.60
  6. Step 6: Final answer
    x = 27,250.20

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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.