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Finding the Fourth Proportional to 48,872.96, 73,258.14 and 20,786.48

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Solution

The fourth proportional to 48,872.96, 73,258.14 and 20,786.48 is: 31,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,872.96 : 73,258.14 = 20,786.48 : x
  2. Step 2: Convert to fraction form
    48,872.96/73,258.14 = 20,786.48/x
  3. Step 3: Cross multiply
    48,872.96x = 73,258.14 × 20,786.48
  4. Step 4: Simplify right side
    48,872.96x = 1,522,778,861.95
  5. Step 5: Solve for x
    x = 1,522,778,861.95/48,872.96
  6. Step 6: Final answer
    x = 31,157.90

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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.