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Finding the Fourth Proportional to 36,773.70, 55,102.95 and 31,820.10

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Solution

The fourth proportional to 36,773.70, 55,102.95 and 31,820.10 is: 47,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,773.70 : 55,102.95 = 31,820.10 : x
  2. Step 2: Convert to fraction form
    36,773.70/55,102.95 = 31,820.10/x
  3. Step 3: Cross multiply
    36,773.70x = 55,102.95 × 31,820.10
  4. Step 4: Simplify right side
    36,773.70x = 1,753,381,379.30
  5. Step 5: Solve for x
    x = 1,753,381,379.30/36,773.70
  6. Step 6: Final answer
    x = 47,680.31

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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.