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Finding the Fourth Proportional to 39,163.10, 54,073.17 and 24,076

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Solution

The fourth proportional to 39,163.10, 54,073.17 and 24,076 is: 33,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,163.10 : 54,073.17 = 24,076 : x
  2. Step 2: Convert to fraction form
    39,163.10/54,073.17 = 24,076/x
  3. Step 3: Cross multiply
    39,163.10x = 54,073.17 × 24,076
  4. Step 4: Simplify right side
    39,163.10x = 1,301,865,640.92
  5. Step 5: Solve for x
    x = 1,301,865,640.92/39,163.10
  6. Step 6: Final answer
    x = 33,242.15

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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.