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Finding the Fourth Proportional to 88,964.96, 133,486.50 and 33,548

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Solution

The fourth proportional to 88,964.96, 133,486.50 and 33,548 is: 50,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,964.96 : 133,486.50 = 33,548 : x
  2. Step 2: Convert to fraction form
    88,964.96/133,486.50 = 33,548/x
  3. Step 3: Cross multiply
    88,964.96x = 133,486.50 × 33,548
  4. Step 4: Simplify right side
    88,964.96x = 4,478,205,102
  5. Step 5: Solve for x
    x = 4,478,205,102/88,964.96
  6. Step 6: Final answer
    x = 50,336.73

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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.