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Finding the Fourth Proportional to 37,874.34, 56,811.42 and 11,222.41

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Solution

The fourth proportional to 37,874.34, 56,811.42 and 11,222.41 is: 16,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,874.34 : 56,811.42 = 11,222.41 : x
  2. Step 2: Convert to fraction form
    37,874.34/56,811.42 = 11,222.41/x
  3. Step 3: Cross multiply
    37,874.34x = 56,811.42 × 11,222.41
  4. Step 4: Simplify right side
    37,874.34x = 637,561,047.92
  5. Step 5: Solve for x
    x = 637,561,047.92/37,874.34
  6. Step 6: Final answer
    x = 16,833.59

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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.