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Finding the Fourth Proportional to 33,049.70, 49,577.13 and 9,356.85

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Solution

The fourth proportional to 33,049.70, 49,577.13 and 9,356.85 is: 14,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.70 : 49,577.13 = 9,356.85 : x
  2. Step 2: Convert to fraction form
    33,049.70/49,577.13 = 9,356.85/x
  3. Step 3: Cross multiply
    33,049.70x = 49,577.13 × 9,356.85
  4. Step 4: Simplify right side
    33,049.70x = 463,885,768.84
  5. Step 5: Solve for x
    x = 463,885,768.84/33,049.70
  6. Step 6: Final answer
    x = 14,036.01

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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.