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Finding the Fourth Proportional to 33,607.66, 50,378.10 and 16,057

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Solution

The fourth proportional to 33,607.66, 50,378.10 and 16,057 is: 24,069.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,607.66 : 50,378.10 = 16,057 : x
  2. Step 2: Convert to fraction form
    33,607.66/50,378.10 = 16,057/x
  3. Step 3: Cross multiply
    33,607.66x = 50,378.10 × 16,057
  4. Step 4: Simplify right side
    33,607.66x = 808,921,151.70
  5. Step 5: Solve for x
    x = 808,921,151.70/33,607.66
  6. Step 6: Final answer
    x = 24,069.55

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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.