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Finding the Fourth Proportional to 58,142.75, 87,181.32 and 20,174.21

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Solution

The fourth proportional to 58,142.75, 87,181.32 and 20,174.21 is: 30,249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,142.75 : 87,181.32 = 20,174.21 : x
  2. Step 2: Convert to fraction form
    58,142.75/87,181.32 = 20,174.21/x
  3. Step 3: Cross multiply
    58,142.75x = 87,181.32 × 20,174.21
  4. Step 4: Simplify right side
    58,142.75x = 1,758,814,257.76
  5. Step 5: Solve for x
    x = 1,758,814,257.76/58,142.75
  6. Step 6: Final answer
    x = 30,249.93

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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.