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Finding the Fourth Proportional to 33,233.77, 49,850.65 and 9,860

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Solution

The fourth proportional to 33,233.77, 49,850.65 and 9,860 is: 14,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233.77 : 49,850.65 = 9,860 : x
  2. Step 2: Convert to fraction form
    33,233.77/49,850.65 = 9,860/x
  3. Step 3: Cross multiply
    33,233.77x = 49,850.65 × 9,860
  4. Step 4: Simplify right side
    33,233.77x = 491,527,409
  5. Step 5: Solve for x
    x = 491,527,409/33,233.77
  6. Step 6: Final answer
    x = 14,790.00

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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.