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Finding the Fourth Proportional to 49,832.50, 74,749.02 and 12,896.50

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Solution

The fourth proportional to 49,832.50, 74,749.02 and 12,896.50 is: 19,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,832.50 : 74,749.02 = 12,896.50 : x
  2. Step 2: Convert to fraction form
    49,832.50/74,749.02 = 12,896.50/x
  3. Step 3: Cross multiply
    49,832.50x = 74,749.02 × 12,896.50
  4. Step 4: Simplify right side
    49,832.50x = 964,000,736.43
  5. Step 5: Solve for x
    x = 964,000,736.43/49,832.50
  6. Step 6: Final answer
    x = 19,344.82

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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.