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Finding the Fourth Proportional to 100,401.56, 150,569.44 and 33,823.80

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Solution

The fourth proportional to 100,401.56, 150,569.44 and 33,823.80 is: 50,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,401.56 : 150,569.44 = 33,823.80 : x
  2. Step 2: Convert to fraction form
    100,401.56/150,569.44 = 33,823.80/x
  3. Step 3: Cross multiply
    100,401.56x = 150,569.44 × 33,823.80
  4. Step 4: Simplify right side
    100,401.56x = 5,092,830,624.67
  5. Step 5: Solve for x
    x = 5,092,830,624.67/100,401.56
  6. Step 6: Final answer
    x = 50,724.62

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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.