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Finding the Fourth Proportional to 34,138.82, 47,119.11 and 22,181.39

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Solution

The fourth proportional to 34,138.82, 47,119.11 and 22,181.39 is: 30,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,138.82 : 47,119.11 = 22,181.39 : x
  2. Step 2: Convert to fraction form
    34,138.82/47,119.11 = 22,181.39/x
  3. Step 3: Cross multiply
    34,138.82x = 47,119.11 × 22,181.39
  4. Step 4: Simplify right side
    34,138.82x = 1,045,167,417.71
  5. Step 5: Solve for x
    x = 1,045,167,417.71/34,138.82
  6. Step 6: Final answer
    x = 30,615.22

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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.