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Finding the Fourth Proportional to 39,102.10, 53,960.97 and 21,197.05

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Solution

The fourth proportional to 39,102.10, 53,960.97 and 21,197.05 is: 29,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102.10 : 53,960.97 = 21,197.05 : x
  2. Step 2: Convert to fraction form
    39,102.10/53,960.97 = 21,197.05/x
  3. Step 3: Cross multiply
    39,102.10x = 53,960.97 × 21,197.05
  4. Step 4: Simplify right side
    39,102.10x = 1,143,813,379.14
  5. Step 5: Solve for x
    x = 1,143,813,379.14/39,102.10
  6. Step 6: Final answer
    x = 29,251.97

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