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Finding the Fourth Proportional to 29,690.56, 44,544.64 and 11,224

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Solution

The fourth proportional to 29,690.56, 44,544.64 and 11,224 is: 16,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,690.56 : 44,544.64 = 11,224 : x
  2. Step 2: Convert to fraction form
    29,690.56/44,544.64 = 11,224/x
  3. Step 3: Cross multiply
    29,690.56x = 44,544.64 × 11,224
  4. Step 4: Simplify right side
    29,690.56x = 499,969,039.36
  5. Step 5: Solve for x
    x = 499,969,039.36/29,690.56
  6. Step 6: Final answer
    x = 16,839.33

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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.