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Finding the Fourth Proportional to 41,533.92, 57,324.24 and 24,768

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Solution

The fourth proportional to 41,533.92, 57,324.24 and 24,768 is: 34,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,533.92 : 57,324.24 = 24,768 : x
  2. Step 2: Convert to fraction form
    41,533.92/57,324.24 = 24,768/x
  3. Step 3: Cross multiply
    41,533.92x = 57,324.24 × 24,768
  4. Step 4: Simplify right side
    41,533.92x = 1,419,806,776.32
  5. Step 5: Solve for x
    x = 1,419,806,776.32/41,533.92
  6. Step 6: Final answer
    x = 34,184.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.