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Finding the Fourth Proportional to 71,151.78, 106,727.66 and 26,788.48

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Solution

The fourth proportional to 71,151.78, 106,727.66 and 26,788.48 is: 40,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,151.78 : 106,727.66 = 26,788.48 : x
  2. Step 2: Convert to fraction form
    71,151.78/106,727.66 = 26,788.48/x
  3. Step 3: Cross multiply
    71,151.78x = 106,727.66 × 26,788.48
  4. Step 4: Simplify right side
    71,151.78x = 2,859,071,852.33
  5. Step 5: Solve for x
    x = 2,859,071,852.33/71,151.78
  6. Step 6: Final answer
    x = 40,182.72

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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.