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Finding the Fourth Proportional to 34,161.32, 47,119.92 and 22,240.28

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Solution

The fourth proportional to 34,161.32, 47,119.92 and 22,240.28 is: 30,676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161.32 : 47,119.92 = 22,240.28 : x
  2. Step 2: Convert to fraction form
    34,161.32/47,119.92 = 22,240.28/x
  3. Step 3: Cross multiply
    34,161.32x = 47,119.92 × 22,240.28
  4. Step 4: Simplify right side
    34,161.32x = 1,047,960,214.38
  5. Step 5: Solve for x
    x = 1,047,960,214.38/34,161.32
  6. Step 6: Final answer
    x = 30,676.81

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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.