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Finding the Fourth Proportional to 51,234.48, 76,863.60 and 20,070

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Solution

The fourth proportional to 51,234.48, 76,863.60 and 20,070 is: 30,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234.48 : 76,863.60 = 20,070 : x
  2. Step 2: Convert to fraction form
    51,234.48/76,863.60 = 20,070/x
  3. Step 3: Cross multiply
    51,234.48x = 76,863.60 × 20,070
  4. Step 4: Simplify right side
    51,234.48x = 1,542,652,452
  5. Step 5: Solve for x
    x = 1,542,652,452/51,234.48
  6. Step 6: Final answer
    x = 30,109.65

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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.