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Finding the Fourth Proportional to 33,666.40, 50,499.60 and 9,974.80

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Solution

The fourth proportional to 33,666.40, 50,499.60 and 9,974.80 is: 14,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,666.40 : 50,499.60 = 9,974.80 : x
  2. Step 2: Convert to fraction form
    33,666.40/50,499.60 = 9,974.80/x
  3. Step 3: Cross multiply
    33,666.40x = 50,499.60 × 9,974.80
  4. Step 4: Simplify right side
    33,666.40x = 503,723,410.08
  5. Step 5: Solve for x
    x = 503,723,410.08/33,666.40
  6. Step 6: Final answer
    x = 14,962.20

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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.