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Finding the Fourth Proportional to 64,205.29, 96,255.73 and 26,793.24

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Solution

The fourth proportional to 64,205.29, 96,255.73 and 26,793.24 is: 40,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,205.29 : 96,255.73 = 26,793.24 : x
  2. Step 2: Convert to fraction form
    64,205.29/96,255.73 = 26,793.24/x
  3. Step 3: Cross multiply
    64,205.29x = 96,255.73 × 26,793.24
  4. Step 4: Simplify right side
    64,205.29x = 2,579,002,875.27
  5. Step 5: Solve for x
    x = 2,579,002,875.27/64,205.29
  6. Step 6: Final answer
    x = 40,168.07

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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.