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Finding the Fourth Proportional to 50,537.88, 69,741.93 and 27,877.49

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Solution

The fourth proportional to 50,537.88, 69,741.93 and 27,877.49 is: 38,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.88 : 69,741.93 = 27,877.49 : x
  2. Step 2: Convert to fraction form
    50,537.88/69,741.93 = 27,877.49/x
  3. Step 3: Cross multiply
    50,537.88x = 69,741.93 × 27,877.49
  4. Step 4: Simplify right side
    50,537.88x = 1,944,229,973.52
  5. Step 5: Solve for x
    x = 1,944,229,973.52/50,537.88
  6. Step 6: Final answer
    x = 38,470.75

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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.