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Finding the Fourth Proportional to 50,418.48, 69,577.52 and 27,757.47

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Solution

The fourth proportional to 50,418.48, 69,577.52 and 27,757.47 is: 38,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,418.48 : 69,577.52 = 27,757.47 : x
  2. Step 2: Convert to fraction form
    50,418.48/69,577.52 = 27,757.47/x
  3. Step 3: Cross multiply
    50,418.48x = 69,577.52 × 27,757.47
  4. Step 4: Simplify right side
    50,418.48x = 1,931,295,924.07
  5. Step 5: Solve for x
    x = 1,931,295,924.07/50,418.48
  6. Step 6: Final answer
    x = 38,305.32

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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.