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Finding the Fourth Proportional to 88,947.20, 133,409.28 and 33,536

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Solution

The fourth proportional to 88,947.20, 133,409.28 and 33,536 is: 50,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,947.20 : 133,409.28 = 33,536 : x
  2. Step 2: Convert to fraction form
    88,947.20/133,409.28 = 33,536/x
  3. Step 3: Cross multiply
    88,947.20x = 133,409.28 × 33,536
  4. Step 4: Simplify right side
    88,947.20x = 4,474,013,614.08
  5. Step 5: Solve for x
    x = 4,474,013,614.08/88,947.20
  6. Step 6: Final answer
    x = 50,299.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.