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Finding the Fourth Proportional to 37,452, 56,194.40 and 17,744.64

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Solution

The fourth proportional to 37,452, 56,194.40 and 17,744.64 is: 26,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,452 : 56,194.40 = 17,744.64 : x
  2. Step 2: Convert to fraction form
    37,452/56,194.40 = 17,744.64/x
  3. Step 3: Cross multiply
    37,452x = 56,194.40 × 17,744.64
  4. Step 4: Simplify right side
    37,452x = 997,149,398.02
  5. Step 5: Solve for x
    x = 997,149,398.02/37,452
  6. Step 6: Final answer
    x = 26,624.73

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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.