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Finding the Fourth Proportional to 50,404.16, 69,557.75 and 27,744.77

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Solution

The fourth proportional to 50,404.16, 69,557.75 and 27,744.77 is: 38,287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.16 : 69,557.75 = 27,744.77 : x
  2. Step 2: Convert to fraction form
    50,404.16/69,557.75 = 27,744.77/x
  3. Step 3: Cross multiply
    50,404.16x = 69,557.75 × 27,744.77
  4. Step 4: Simplify right side
    50,404.16x = 1,929,863,775.47
  5. Step 5: Solve for x
    x = 1,929,863,775.47/50,404.16
  6. Step 6: Final answer
    x = 38,287.79

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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.