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Finding the Fourth Proportional to 50,025.78, 75,023.02 and 16,738.04

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Solution

The fourth proportional to 50,025.78, 75,023.02 and 16,738.04 is: 25,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,025.78 : 75,023.02 = 16,738.04 : x
  2. Step 2: Convert to fraction form
    50,025.78/75,023.02 = 16,738.04/x
  3. Step 3: Cross multiply
    50,025.78x = 75,023.02 × 16,738.04
  4. Step 4: Simplify right side
    50,025.78x = 1,255,738,309.68
  5. Step 5: Solve for x
    x = 1,255,738,309.68/50,025.78
  6. Step 6: Final answer
    x = 25,101.82

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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.