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Finding the Fourth Proportional to 34,906.67, 52,340.16 and 23,826.77

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Solution

The fourth proportional to 34,906.67, 52,340.16 and 23,826.77 is: 35,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,906.67 : 52,340.16 = 23,826.77 : x
  2. Step 2: Convert to fraction form
    34,906.67/52,340.16 = 23,826.77/x
  3. Step 3: Cross multiply
    34,906.67x = 52,340.16 × 23,826.77
  4. Step 4: Simplify right side
    34,906.67x = 1,247,096,954.08
  5. Step 5: Solve for x
    x = 1,247,096,954.08/34,906.67
  6. Step 6: Final answer
    x = 35,726.61

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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.