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Finding the Fourth Proportional to 50,233, 69,321.72 and 27,877

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Solution

The fourth proportional to 50,233, 69,321.72 and 27,877 is: 38,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,233 : 69,321.72 = 27,877 : x
  2. Step 2: Convert to fraction form
    50,233/69,321.72 = 27,877/x
  3. Step 3: Cross multiply
    50,233x = 69,321.72 × 27,877
  4. Step 4: Simplify right side
    50,233x = 1,932,481,588.44
  5. Step 5: Solve for x
    x = 1,932,481,588.44/50,233
  6. Step 6: Final answer
    x = 38,470.36

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1.5x scale

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.