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Finding the Fourth Proportional to 50,240, 69,331.20 and 27,884.16

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Solution

The fourth proportional to 50,240, 69,331.20 and 27,884.16 is: 38,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,240 : 69,331.20 = 27,884.16 : x
  2. Step 2: Convert to fraction form
    50,240/69,331.20 = 27,884.16/x
  3. Step 3: Cross multiply
    50,240x = 69,331.20 × 27,884.16
  4. Step 4: Simplify right side
    50,240x = 1,933,242,273.79
  5. Step 5: Solve for x
    x = 1,933,242,273.79/50,240
  6. Step 6: Final answer
    x = 38,480.14

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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.