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Finding the Fourth Proportional to 50,537.90, 69,743.12 and 27,876.49

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Solution

The fourth proportional to 50,537.90, 69,743.12 and 27,876.49 is: 38,470.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.90 : 69,743.12 = 27,876.49 : x
  2. Step 2: Convert to fraction form
    50,537.90/69,743.12 = 27,876.49/x
  3. Step 3: Cross multiply
    50,537.90x = 69,743.12 × 27,876.49
  4. Step 4: Simplify right side
    50,537.90x = 1,944,193,073.51
  5. Step 5: Solve for x
    x = 1,944,193,073.51/50,537.90
  6. Step 6: Final answer
    x = 38,470.00

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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.