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Finding the Fourth Proportional to 75,389, 113,135.34 and 26,141

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Solution

The fourth proportional to 75,389, 113,135.34 and 26,141 is: 39,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,389 : 113,135.34 = 26,141 : x
  2. Step 2: Convert to fraction form
    75,389/113,135.34 = 26,141/x
  3. Step 3: Cross multiply
    75,389x = 113,135.34 × 26,141
  4. Step 4: Simplify right side
    75,389x = 2,957,470,922.94
  5. Step 5: Solve for x
    x = 2,957,470,922.94/75,389
  6. Step 6: Final answer
    x = 39,229.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.