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Finding the Fourth Proportional to 37,633.74, 56,449.80 and 11,337.90

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Solution

The fourth proportional to 37,633.74, 56,449.80 and 11,337.90 is: 17,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,633.74 : 56,449.80 = 11,337.90 : x
  2. Step 2: Convert to fraction form
    37,633.74/56,449.80 = 11,337.90/x
  3. Step 3: Cross multiply
    37,633.74x = 56,449.80 × 11,337.90
  4. Step 4: Simplify right side
    37,633.74x = 640,022,187.42
  5. Step 5: Solve for x
    x = 640,022,187.42/37,633.74
  6. Step 6: Final answer
    x = 17,006.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.