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Finding the Fourth Proportional to 50,058, 69,081.12 and 27,702

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Solution

The fourth proportional to 50,058, 69,081.12 and 27,702 is: 38,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,058 : 69,081.12 = 27,702 : x
  2. Step 2: Convert to fraction form
    50,058/69,081.12 = 27,702/x
  3. Step 3: Cross multiply
    50,058x = 69,081.12 × 27,702
  4. Step 4: Simplify right side
    50,058x = 1,913,685,186.24
  5. Step 5: Solve for x
    x = 1,913,685,186.24/50,058
  6. Step 6: Final answer
    x = 38,229.36

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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.