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Finding the Fourth Proportional to 70,876.22, 106,256.91 and 26,496.52

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Solution

The fourth proportional to 70,876.22, 106,256.91 and 26,496.52 is: 39,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,876.22 : 106,256.91 = 26,496.52 : x
  2. Step 2: Convert to fraction form
    70,876.22/106,256.91 = 26,496.52/x
  3. Step 3: Cross multiply
    70,876.22x = 106,256.91 × 26,496.52
  4. Step 4: Simplify right side
    70,876.22x = 2,815,438,174.67
  5. Step 5: Solve for x
    x = 2,815,438,174.67/70,876.22
  6. Step 6: Final answer
    x = 39,723.31

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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.