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Finding the Fourth Proportional to 40,843.96, 61,237.14 and 15,863.20

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Solution

The fourth proportional to 40,843.96, 61,237.14 and 15,863.20 is: 23,783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,843.96 : 61,237.14 = 15,863.20 : x
  2. Step 2: Convert to fraction form
    40,843.96/61,237.14 = 15,863.20/x
  3. Step 3: Cross multiply
    40,843.96x = 61,237.14 × 15,863.20
  4. Step 4: Simplify right side
    40,843.96x = 971,416,999.25
  5. Step 5: Solve for x
    x = 971,416,999.25/40,843.96
  6. Step 6: Final answer
    x = 23,783.61

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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.