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Finding the Fourth Proportional to 37,834.50, 52,186.60 and 23,662.74

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Solution

The fourth proportional to 37,834.50, 52,186.60 and 23,662.74 is: 32,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,834.50 : 52,186.60 = 23,662.74 : x
  2. Step 2: Convert to fraction form
    37,834.50/52,186.60 = 23,662.74/x
  3. Step 3: Cross multiply
    37,834.50x = 52,186.60 × 23,662.74
  4. Step 4: Simplify right side
    37,834.50x = 1,234,877,828.97
  5. Step 5: Solve for x
    x = 1,234,877,828.97/37,834.50
  6. Step 6: Final answer
    x = 32,638.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.