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Finding the Fourth Proportional to 52,138.20, 72,906 and 52,138.20

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Solution

The fourth proportional to 52,138.20, 72,906 and 52,138.20 is: 72,906

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138.20 : 72,906 = 52,138.20 : x
  2. Step 2: Convert to fraction form
    52,138.20/72,906 = 52,138.20/x
  3. Step 3: Cross multiply
    52,138.20x = 72,906 × 52,138.20
  4. Step 4: Simplify right side
    52,138.20x = 3,801,187,609.20
  5. Step 5: Solve for x
    x = 3,801,187,609.20/52,138.20
  6. Step 6: Final answer
    x = 72,906

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.