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Finding the Fourth Proportional to 58,540.56, 80,764.23 and 38,408.64

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Solution

The fourth proportional to 58,540.56, 80,764.23 and 38,408.64 is: 52,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,540.56 : 80,764.23 = 38,408.64 : x
  2. Step 2: Convert to fraction form
    58,540.56/80,764.23 = 38,408.64/x
  3. Step 3: Cross multiply
    58,540.56x = 80,764.23 × 38,408.64
  4. Step 4: Simplify right side
    58,540.56x = 3,102,044,234.95
  5. Step 5: Solve for x
    x = 3,102,044,234.95/58,540.56
  6. Step 6: Final answer
    x = 52,989.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.