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Finding the Fourth Proportional to 34,998.38, 48,297.16 and 19,082.49

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Solution

The fourth proportional to 34,998.38, 48,297.16 and 19,082.49 is: 26,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,998.38 : 48,297.16 = 19,082.49 : x
  2. Step 2: Convert to fraction form
    34,998.38/48,297.16 = 19,082.49/x
  3. Step 3: Cross multiply
    34,998.38x = 48,297.16 × 19,082.49
  4. Step 4: Simplify right side
    34,998.38x = 921,629,915.47
  5. Step 5: Solve for x
    x = 921,629,915.47/34,998.38
  6. Step 6: Final answer
    x = 26,333.50

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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.