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Finding the Fourth Proportional to 37,633.74, 56,440.07 and 11,334.66

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Solution

The fourth proportional to 37,633.74, 56,440.07 and 11,334.66 is: 16,998.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,633.74 : 56,440.07 = 11,334.66 : x
  2. Step 2: Convert to fraction form
    37,633.74/56,440.07 = 11,334.66/x
  3. Step 3: Cross multiply
    37,633.74x = 56,440.07 × 11,334.66
  4. Step 4: Simplify right side
    37,633.74x = 639,729,003.83
  5. Step 5: Solve for x
    x = 639,729,003.83/37,633.74
  6. Step 6: Final answer
    x = 16,998.82

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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.