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Finding the Fourth Proportional to 34,841.78, 48,082.17 and 19,734.06

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Solution

The fourth proportional to 34,841.78, 48,082.17 and 19,734.06 is: 27,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,841.78 : 48,082.17 = 19,734.06 : x
  2. Step 2: Convert to fraction form
    34,841.78/48,082.17 = 19,734.06/x
  3. Step 3: Cross multiply
    34,841.78x = 48,082.17 × 19,734.06
  4. Step 4: Simplify right side
    34,841.78x = 948,856,427.71
  5. Step 5: Solve for x
    x = 948,856,427.71/34,841.78
  6. Step 6: Final answer
    x = 27,233.29

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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.