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Finding the Fourth Proportional to 36,657.38, 55,018.47 and 24,142.34

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Solution

The fourth proportional to 36,657.38, 55,018.47 and 24,142.34 is: 36,234.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,657.38 : 55,018.47 = 24,142.34 : x
  2. Step 2: Convert to fraction form
    36,657.38/55,018.47 = 24,142.34/x
  3. Step 3: Cross multiply
    36,657.38x = 55,018.47 × 24,142.34
  4. Step 4: Simplify right side
    36,657.38x = 1,328,274,609.02
  5. Step 5: Solve for x
    x = 1,328,274,609.02/36,657.38
  6. Step 6: Final answer
    x = 36,234.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.