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Finding the Fourth Proportional to 89,143.20, 133,703.28 and 33,732

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Solution

The fourth proportional to 89,143.20, 133,703.28 and 33,732 is: 50,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,143.20 : 133,703.28 = 33,732 : x
  2. Step 2: Convert to fraction form
    89,143.20/133,703.28 = 33,732/x
  3. Step 3: Cross multiply
    89,143.20x = 133,703.28 × 33,732
  4. Step 4: Simplify right side
    89,143.20x = 4,510,079,040.96
  5. Step 5: Solve for x
    x = 4,510,079,040.96/89,143.20
  6. Step 6: Final answer
    x = 50,593.64

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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.