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Finding the Fourth Proportional to 50,542.93, 69,749.24 and 27,881.97

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Solution

The fourth proportional to 50,542.93, 69,749.24 and 27,881.97 is: 38,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,542.93 : 69,749.24 = 27,881.97 : x
  2. Step 2: Convert to fraction form
    50,542.93/69,749.24 = 27,881.97/x
  3. Step 3: Cross multiply
    50,542.93x = 69,749.24 × 27,881.97
  4. Step 4: Simplify right side
    50,542.93x = 1,944,746,077.79
  5. Step 5: Solve for x
    x = 1,944,746,077.79/50,542.93
  6. Step 6: Final answer
    x = 38,477.12

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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.