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Finding the Fourth Proportional to 37,324.68, 55,713.94 and 32,896.16

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Solution

The fourth proportional to 37,324.68, 55,713.94 and 32,896.16 is: 49,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324.68 : 55,713.94 = 32,896.16 : x
  2. Step 2: Convert to fraction form
    37,324.68/55,713.94 = 32,896.16/x
  3. Step 3: Cross multiply
    37,324.68x = 55,713.94 × 32,896.16
  4. Step 4: Simplify right side
    37,324.68x = 1,832,774,519.99
  5. Step 5: Solve for x
    x = 1,832,774,519.99/37,324.68
  6. Step 6: Final answer
    x = 49,103.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.