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Finding the Fourth Proportional to 50,077, 69,108.42 and 27,721

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Solution

The fourth proportional to 50,077, 69,108.42 and 27,721 is: 38,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077 : 69,108.42 = 27,721 : x
  2. Step 2: Convert to fraction form
    50,077/69,108.42 = 27,721/x
  3. Step 3: Cross multiply
    50,077x = 69,108.42 × 27,721
  4. Step 4: Simplify right side
    50,077x = 1,915,754,510.82
  5. Step 5: Solve for x
    x = 1,915,754,510.82/50,077
  6. Step 6: Final answer
    x = 38,256.18

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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.