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Finding the Fourth Proportional to 33,525, 50,288.70 and 8,901

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Solution

The fourth proportional to 33,525, 50,288.70 and 8,901 is: 13,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,525 : 50,288.70 = 8,901 : x
  2. Step 2: Convert to fraction form
    33,525/50,288.70 = 8,901/x
  3. Step 3: Cross multiply
    33,525x = 50,288.70 × 8,901
  4. Step 4: Simplify right side
    33,525x = 447,619,718.70
  5. Step 5: Solve for x
    x = 447,619,718.70/33,525
  6. Step 6: Final answer
    x = 13,351.82

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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.