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Finding the Fourth Proportional to 50,238.72, 69,332.16 and 27,883.20

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Solution

The fourth proportional to 50,238.72, 69,332.16 and 27,883.20 is: 38,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,238.72 : 69,332.16 = 27,883.20 : x
  2. Step 2: Convert to fraction form
    50,238.72/69,332.16 = 27,883.20/x
  3. Step 3: Cross multiply
    50,238.72x = 69,332.16 × 27,883.20
  4. Step 4: Simplify right side
    50,238.72x = 1,933,202,483.71
  5. Step 5: Solve for x
    x = 1,933,202,483.71/50,238.72
  6. Step 6: Final answer
    x = 38,480.33

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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.