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Finding the Fourth Proportional to 49,809.35, 74,719.49 and 24,855.68

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Solution

The fourth proportional to 49,809.35, 74,719.49 and 24,855.68 is: 37,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809.35 : 74,719.49 = 24,855.68 : x
  2. Step 2: Convert to fraction form
    49,809.35/74,719.49 = 24,855.68/x
  3. Step 3: Cross multiply
    49,809.35x = 74,719.49 × 24,855.68
  4. Step 4: Simplify right side
    49,809.35x = 1,857,203,235.33
  5. Step 5: Solve for x
    x = 1,857,203,235.33/49,809.35
  6. Step 6: Final answer
    x = 37,286.24

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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.