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Finding the Fourth Proportional to 100,395.66, 150,607.34 and 33,854.78

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Solution

The fourth proportional to 100,395.66, 150,607.34 and 33,854.78 is: 50,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,395.66 : 150,607.34 = 33,854.78 : x
  2. Step 2: Convert to fraction form
    100,395.66/150,607.34 = 33,854.78/x
  3. Step 3: Cross multiply
    100,395.66x = 150,607.34 × 33,854.78
  4. Step 4: Simplify right side
    100,395.66x = 5,098,778,362.09
  5. Step 5: Solve for x
    x = 5,098,778,362.09/100,395.66
  6. Step 6: Final answer
    x = 50,786.84

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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.