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Finding the Fourth Proportional to 100,176.70, 150,259.92 and 33,617.38

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Solution

The fourth proportional to 100,176.70, 150,259.92 and 33,617.38 is: 50,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176.70 : 150,259.92 = 33,617.38 : x
  2. Step 2: Convert to fraction form
    100,176.70/150,259.92 = 33,617.38/x
  3. Step 3: Cross multiply
    100,176.70x = 150,259.92 × 33,617.38
  4. Step 4: Simplify right side
    100,176.70x = 5,051,344,829.41
  5. Step 5: Solve for x
    x = 5,051,344,829.41/100,176.70
  6. Step 6: Final answer
    x = 50,424.35

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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.