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Finding the Fourth Proportional to 100,417.72, 150,521.46 and 33,834.84

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Solution

The fourth proportional to 100,417.72, 150,521.46 and 33,834.84 is: 50,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,417.72 : 150,521.46 = 33,834.84 : x
  2. Step 2: Convert to fraction form
    100,417.72/150,521.46 = 33,834.84/x
  3. Step 3: Cross multiply
    100,417.72x = 150,521.46 × 33,834.84
  4. Step 4: Simplify right side
    100,417.72x = 5,092,869,515.67
  5. Step 5: Solve for x
    x = 5,092,869,515.67/100,417.72
  6. Step 6: Final answer
    x = 50,716.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.