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Finding the Fourth Proportional to 103,150.67, 154,728.17 and 33,029.78

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Solution

The fourth proportional to 103,150.67, 154,728.17 and 33,029.78 is: 49,545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,150.67 : 154,728.17 = 33,029.78 : x
  2. Step 2: Convert to fraction form
    103,150.67/154,728.17 = 33,029.78/x
  3. Step 3: Cross multiply
    103,150.67x = 154,728.17 × 33,029.78
  4. Step 4: Simplify right side
    103,150.67x = 5,110,636,476.11
  5. Step 5: Solve for x
    x = 5,110,636,476.11/103,150.67
  6. Step 6: Final answer
    x = 49,545.36

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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.