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Finding the Fourth Proportional to 49,929.60, 74,797.20 and 27,703.20

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Solution

The fourth proportional to 49,929.60, 74,797.20 and 27,703.20 is: 41,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,929.60 : 74,797.20 = 27,703.20 : x
  2. Step 2: Convert to fraction form
    49,929.60/74,797.20 = 27,703.20/x
  3. Step 3: Cross multiply
    49,929.60x = 74,797.20 × 27,703.20
  4. Step 4: Simplify right side
    49,929.60x = 2,072,121,791.04
  5. Step 5: Solve for x
    x = 2,072,121,791.04/49,929.60
  6. Step 6: Final answer
    x = 41,500.87

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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.