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Finding the Fourth Proportional to 55,224.80, 82,837.20 and 49,101.20

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Solution

The fourth proportional to 55,224.80, 82,837.20 and 49,101.20 is: 73,651.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224.80 : 82,837.20 = 49,101.20 : x
  2. Step 2: Convert to fraction form
    55,224.80/82,837.20 = 49,101.20/x
  3. Step 3: Cross multiply
    55,224.80x = 82,837.20 × 49,101.20
  4. Step 4: Simplify right side
    55,224.80x = 4,067,405,924.64
  5. Step 5: Solve for x
    x = 4,067,405,924.64/55,224.80
  6. Step 6: Final answer
    x = 73,651.80

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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.