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Finding the Fourth Proportional to 71,524.86, 107,269.22 and 26,521.49

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Solution

The fourth proportional to 71,524.86, 107,269.22 and 26,521.49 is: 39,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524.86 : 107,269.22 = 26,521.49 : x
  2. Step 2: Convert to fraction form
    71,524.86/107,269.22 = 26,521.49/x
  3. Step 3: Cross multiply
    71,524.86x = 107,269.22 × 26,521.49
  4. Step 4: Simplify right side
    71,524.86x = 2,844,939,276.63
  5. Step 5: Solve for x
    x = 2,844,939,276.63/71,524.86
  6. Step 6: Final answer
    x = 39,775.53

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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.