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Finding the Fourth Proportional to 56,174.96, 84,245.16 and 29,865.20

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Solution

The fourth proportional to 56,174.96, 84,245.16 and 29,865.20 is: 44,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,174.96 : 84,245.16 = 29,865.20 : x
  2. Step 2: Convert to fraction form
    56,174.96/84,245.16 = 29,865.20/x
  3. Step 3: Cross multiply
    56,174.96x = 84,245.16 × 29,865.20
  4. Step 4: Simplify right side
    56,174.96x = 2,515,998,552.43
  5. Step 5: Solve for x
    x = 2,515,998,552.43/56,174.96
  6. Step 6: Final answer
    x = 44,788.61

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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.