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Finding the Fourth Proportional to 89,200.30, 133,803.27 and 33,054.46

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Solution

The fourth proportional to 89,200.30, 133,803.27 and 33,054.46 is: 49,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,200.30 : 133,803.27 = 33,054.46 : x
  2. Step 2: Convert to fraction form
    89,200.30/133,803.27 = 33,054.46/x
  3. Step 3: Cross multiply
    89,200.30x = 133,803.27 × 33,054.46
  4. Step 4: Simplify right side
    89,200.30x = 4,422,794,836.08
  5. Step 5: Solve for x
    x = 4,422,794,836.08/89,200.30
  6. Step 6: Final answer
    x = 49,582.73

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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.