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Finding the Fourth Proportional to 102,974.33, 154,431.66 and 30,924.33

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Solution

The fourth proportional to 102,974.33, 154,431.66 and 30,924.33 is: 46,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,974.33 : 154,431.66 = 30,924.33 : x
  2. Step 2: Convert to fraction form
    102,974.33/154,431.66 = 30,924.33/x
  3. Step 3: Cross multiply
    102,974.33x = 154,431.66 × 30,924.33
  4. Step 4: Simplify right side
    102,974.33x = 4,775,695,616.29
  5. Step 5: Solve for x
    x = 4,775,695,616.29/102,974.33
  6. Step 6: Final answer
    x = 46,377.54

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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.