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Finding the Fourth Proportional to 100,454.53, 150,754.62 and 37,283.65

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Solution

The fourth proportional to 100,454.53, 150,754.62 and 37,283.65 is: 55,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454.53 : 150,754.62 = 37,283.65 : x
  2. Step 2: Convert to fraction form
    100,454.53/150,754.62 = 37,283.65/x
  3. Step 3: Cross multiply
    100,454.53x = 150,754.62 × 37,283.65
  4. Step 4: Simplify right side
    100,454.53x = 5,620,682,487.96
  5. Step 5: Solve for x
    x = 5,620,682,487.96/100,454.53
  6. Step 6: Final answer
    x = 55,952.50

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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.