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Finding the Fourth Proportional to 55,229.60, 82,844.40 and 50,952.80

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Solution

The fourth proportional to 55,229.60, 82,844.40 and 50,952.80 is: 76,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,229.60 : 82,844.40 = 50,952.80 : x
  2. Step 2: Convert to fraction form
    55,229.60/82,844.40 = 50,952.80/x
  3. Step 3: Cross multiply
    55,229.60x = 82,844.40 × 50,952.80
  4. Step 4: Simplify right side
    55,229.60x = 4,221,154,144.32
  5. Step 5: Solve for x
    x = 4,221,154,144.32/55,229.60
  6. Step 6: Final answer
    x = 76,429.20

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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.