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Finding the Fourth Proportional to 33,322.50, 49,990.74 and 9,630

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Solution

The fourth proportional to 33,322.50, 49,990.74 and 9,630 is: 14,447.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,322.50 : 49,990.74 = 9,630 : x
  2. Step 2: Convert to fraction form
    33,322.50/49,990.74 = 9,630/x
  3. Step 3: Cross multiply
    33,322.50x = 49,990.74 × 9,630
  4. Step 4: Simplify right side
    33,322.50x = 481,410,826.20
  5. Step 5: Solve for x
    x = 481,410,826.20/33,322.50
  6. Step 6: Final answer
    x = 14,447.02

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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.