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Finding the Fourth Proportional to 50,714.40, 76,082.40 and 15,657.60

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Solution

The fourth proportional to 50,714.40, 76,082.40 and 15,657.60 is: 23,489.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,714.40 : 76,082.40 = 15,657.60 : x
  2. Step 2: Convert to fraction form
    50,714.40/76,082.40 = 15,657.60/x
  3. Step 3: Cross multiply
    50,714.40x = 76,082.40 × 15,657.60
  4. Step 4: Simplify right side
    50,714.40x = 1,191,267,786.24
  5. Step 5: Solve for x
    x = 1,191,267,786.24/50,714.40
  6. Step 6: Final answer
    x = 23,489.73

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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.