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Finding the Fourth Proportional to 45,003.24, 67,453.02 and 24,183

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Solution

The fourth proportional to 45,003.24, 67,453.02 and 24,183 is: 36,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,003.24 : 67,453.02 = 24,183 : x
  2. Step 2: Convert to fraction form
    45,003.24/67,453.02 = 24,183/x
  3. Step 3: Cross multiply
    45,003.24x = 67,453.02 × 24,183
  4. Step 4: Simplify right side
    45,003.24x = 1,631,216,382.66
  5. Step 5: Solve for x
    x = 1,631,216,382.66/45,003.24
  6. Step 6: Final answer
    x = 36,246.64

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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.