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Finding the Fourth Proportional to 37,400, 56,056.96 and 15,189

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Solution

The fourth proportional to 37,400, 56,056.96 and 15,189 is: 22,766.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,400 : 56,056.96 = 15,189 : x
  2. Step 2: Convert to fraction form
    37,400/56,056.96 = 15,189/x
  3. Step 3: Cross multiply
    37,400x = 56,056.96 × 15,189
  4. Step 4: Simplify right side
    37,400x = 851,449,165.44
  5. Step 5: Solve for x
    x = 851,449,165.44/37,400
  6. Step 6: Final answer
    x = 22,766.02

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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.