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Finding the Fourth Proportional to 33,266.34, 49,900.32 and 9,892.98

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Solution

The fourth proportional to 33,266.34, 49,900.32 and 9,892.98 is: 14,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.34 : 49,900.32 = 9,892.98 : x
  2. Step 2: Convert to fraction form
    33,266.34/49,900.32 = 9,892.98/x
  3. Step 3: Cross multiply
    33,266.34x = 49,900.32 × 9,892.98
  4. Step 4: Simplify right side
    33,266.34x = 493,662,867.75
  5. Step 5: Solve for x
    x = 493,662,867.75/33,266.34
  6. Step 6: Final answer
    x = 14,839.71

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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.