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Finding the Fourth Proportional to 103,846, 155,794.92 and 29,974

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Solution

The fourth proportional to 103,846, 155,794.92 and 29,974 is: 44,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,846 : 155,794.92 = 29,974 : x
  2. Step 2: Convert to fraction form
    103,846/155,794.92 = 29,974/x
  3. Step 3: Cross multiply
    103,846x = 155,794.92 × 29,974
  4. Step 4: Simplify right side
    103,846x = 4,669,796,932.08
  5. Step 5: Solve for x
    x = 4,669,796,932.08/103,846
  6. Step 6: Final answer
    x = 44,968.48

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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.