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Finding the Fourth Proportional to 39,406, 54,372.84 and 23,491.93

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Solution

The fourth proportional to 39,406, 54,372.84 and 23,491.93 is: 32,414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,406 : 54,372.84 = 23,491.93 : x
  2. Step 2: Convert to fraction form
    39,406/54,372.84 = 23,491.93/x
  3. Step 3: Cross multiply
    39,406x = 54,372.84 × 23,491.93
  4. Step 4: Simplify right side
    39,406x = 1,277,322,951.18
  5. Step 5: Solve for x
    x = 1,277,322,951.18/39,406
  6. Step 6: Final answer
    x = 32,414.43

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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.