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Finding the Fourth Proportional to 34,667.80, 47,832.06 and 22,082.20

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Solution

The fourth proportional to 34,667.80, 47,832.06 and 22,082.20 is: 30,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,667.80 : 47,832.06 = 22,082.20 : x
  2. Step 2: Convert to fraction form
    34,667.80/47,832.06 = 22,082.20/x
  3. Step 3: Cross multiply
    34,667.80x = 47,832.06 × 22,082.20
  4. Step 4: Simplify right side
    34,667.80x = 1,056,237,115.33
  5. Step 5: Solve for x
    x = 1,056,237,115.33/34,667.80
  6. Step 6: Final answer
    x = 30,467.38

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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.