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Finding the Fourth Proportional to 33,688.80, 50,533.20 and 32,959.80

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Solution

The fourth proportional to 33,688.80, 50,533.20 and 32,959.80 is: 49,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,688.80 : 50,533.20 = 32,959.80 : x
  2. Step 2: Convert to fraction form
    33,688.80/50,533.20 = 32,959.80/x
  3. Step 3: Cross multiply
    33,688.80x = 50,533.20 × 32,959.80
  4. Step 4: Simplify right side
    33,688.80x = 1,665,564,165.36
  5. Step 5: Solve for x
    x = 1,665,564,165.36/33,688.80
  6. Step 6: Final answer
    x = 49,439.70

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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.