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Finding the Fourth Proportional to 49,945.60, 74,821.20 and 27,719.20

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Solution

The fourth proportional to 49,945.60, 74,821.20 and 27,719.20 is: 41,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,945.60 : 74,821.20 = 27,719.20 : x
  2. Step 2: Convert to fraction form
    49,945.60/74,821.20 = 27,719.20/x
  3. Step 3: Cross multiply
    49,945.60x = 74,821.20 × 27,719.20
  4. Step 4: Simplify right side
    49,945.60x = 2,073,983,807.04
  5. Step 5: Solve for x
    x = 2,073,983,807.04/49,945.60
  6. Step 6: Final answer
    x = 41,524.86

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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.