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Finding the Fourth Proportional to 50,184, 69,253.12 and 27,523.52

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Solution

The fourth proportional to 50,184, 69,253.12 and 27,523.52 is: 37,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,184 : 69,253.12 = 27,523.52 : x
  2. Step 2: Convert to fraction form
    50,184/69,253.12 = 27,523.52/x
  3. Step 3: Cross multiply
    50,184x = 69,253.12 × 27,523.52
  4. Step 4: Simplify right side
    50,184x = 1,906,089,633.38
  5. Step 5: Solve for x
    x = 1,906,089,633.38/50,184
  6. Step 6: Final answer
    x = 37,982.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.