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Finding the Fourth Proportional to 55,296.80, 82,945.20 and 18,360.80

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Solution

The fourth proportional to 55,296.80, 82,945.20 and 18,360.80 is: 27,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296.80 : 82,945.20 = 18,360.80 : x
  2. Step 2: Convert to fraction form
    55,296.80/82,945.20 = 18,360.80/x
  3. Step 3: Cross multiply
    55,296.80x = 82,945.20 × 18,360.80
  4. Step 4: Simplify right side
    55,296.80x = 1,522,940,228.16
  5. Step 5: Solve for x
    x = 1,522,940,228.16/55,296.80
  6. Step 6: Final answer
    x = 27,541.20

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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.