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Finding the Fourth Proportional to 33,643.98, 50,465.97 and 9,949.68

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Solution

The fourth proportional to 33,643.98, 50,465.97 and 9,949.68 is: 14,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.98 : 50,465.97 = 9,949.68 : x
  2. Step 2: Convert to fraction form
    33,643.98/50,465.97 = 9,949.68/x
  3. Step 3: Cross multiply
    33,643.98x = 50,465.97 × 9,949.68
  4. Step 4: Simplify right side
    33,643.98x = 502,120,384.32
  5. Step 5: Solve for x
    x = 502,120,384.32/33,643.98
  6. Step 6: Final answer
    x = 14,924.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.