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Finding the Fourth Proportional to 39,222, 54,114.39 and 22,223.52

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Solution

The fourth proportional to 39,222, 54,114.39 and 22,223.52 is: 30,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,222 : 54,114.39 = 22,223.52 : x
  2. Step 2: Convert to fraction form
    39,222/54,114.39 = 22,223.52/x
  3. Step 3: Cross multiply
    39,222x = 54,114.39 × 22,223.52
  4. Step 4: Simplify right side
    39,222x = 1,202,612,228.45
  5. Step 5: Solve for x
    x = 1,202,612,228.45/39,222
  6. Step 6: Final answer
    x = 30,661.68

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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.