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Finding the Fourth Proportional to 33,237.77, 49,856.67 and 9,864

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Solution

The fourth proportional to 33,237.77, 49,856.67 and 9,864 is: 14,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,237.77 : 49,856.67 = 9,864 : x
  2. Step 2: Convert to fraction form
    33,237.77/49,856.67 = 9,864/x
  3. Step 3: Cross multiply
    33,237.77x = 49,856.67 × 9,864
  4. Step 4: Simplify right side
    33,237.77x = 491,786,192.88
  5. Step 5: Solve for x
    x = 491,786,192.88/33,237.77
  6. Step 6: Final answer
    x = 14,796.01

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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.