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Finding the Fourth Proportional to 34,767.44, 52,082.04 and 22,418

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Solution

The fourth proportional to 34,767.44, 52,082.04 and 22,418 is: 33,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767.44 : 52,082.04 = 22,418 : x
  2. Step 2: Convert to fraction form
    34,767.44/52,082.04 = 22,418/x
  3. Step 3: Cross multiply
    34,767.44x = 52,082.04 × 22,418
  4. Step 4: Simplify right side
    34,767.44x = 1,167,575,172.72
  5. Step 5: Solve for x
    x = 1,167,575,172.72/34,767.44
  6. Step 6: Final answer
    x = 33,582.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.