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Finding the Fourth Proportional to 33,056.32, 49,583.84 and 9,682.24

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Solution

The fourth proportional to 33,056.32, 49,583.84 and 9,682.24 is: 14,523.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056.32 : 49,583.84 = 9,682.24 : x
  2. Step 2: Convert to fraction form
    33,056.32/49,583.84 = 9,682.24/x
  3. Step 3: Cross multiply
    33,056.32x = 49,583.84 × 9,682.24
  4. Step 4: Simplify right side
    33,056.32x = 480,082,639.00
  5. Step 5: Solve for x
    x = 480,082,639.00/33,056.32
  6. Step 6: Final answer
    x = 14,523.17

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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.