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Finding the Fourth Proportional to 80,142.81, 120,225.15 and 33,384.75

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Solution

The fourth proportional to 80,142.81, 120,225.15 and 33,384.75 is: 50,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,142.81 : 120,225.15 = 33,384.75 : x
  2. Step 2: Convert to fraction form
    80,142.81/120,225.15 = 33,384.75/x
  3. Step 3: Cross multiply
    80,142.81x = 120,225.15 × 33,384.75
  4. Step 4: Simplify right side
    80,142.81x = 4,013,686,576.46
  5. Step 5: Solve for x
    x = 4,013,686,576.46/80,142.81
  6. Step 6: Final answer
    x = 50,081.68

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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.