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Finding the Fourth Proportional to 103,149.66, 154,725.86 and 33,028.98

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Solution

The fourth proportional to 103,149.66, 154,725.86 and 33,028.98 is: 49,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,149.66 : 154,725.86 = 33,028.98 : x
  2. Step 2: Convert to fraction form
    103,149.66/154,725.86 = 33,028.98/x
  3. Step 3: Cross multiply
    103,149.66x = 154,725.86 × 33,028.98
  4. Step 4: Simplify right side
    103,149.66x = 5,110,436,651.99
  5. Step 5: Solve for x
    x = 5,110,436,651.99/103,149.66
  6. Step 6: Final answer
    x = 49,543.90

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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.