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Finding the Fourth Proportional to 100,264.65, 150,391.44 and 33,697.91

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Solution

The fourth proportional to 100,264.65, 150,391.44 and 33,697.91 is: 50,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.65 : 150,391.44 = 33,697.91 : x
  2. Step 2: Convert to fraction form
    100,264.65/150,391.44 = 33,697.91/x
  3. Step 3: Cross multiply
    100,264.65x = 150,391.44 × 33,697.91
  4. Step 4: Simplify right side
    100,264.65x = 5,067,876,457.93
  5. Step 5: Solve for x
    x = 5,067,876,457.93/100,264.65
  6. Step 6: Final answer
    x = 50,545.00

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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.