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Finding the Fourth Proportional to 41,914, 57,841.50 and 23,052.52

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Solution

The fourth proportional to 41,914, 57,841.50 and 23,052.52 is: 31,812.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,914 : 57,841.50 = 23,052.52 : x
  2. Step 2: Convert to fraction form
    41,914/57,841.50 = 23,052.52/x
  3. Step 3: Cross multiply
    41,914x = 57,841.50 × 23,052.52
  4. Step 4: Simplify right side
    41,914x = 1,333,392,335.58
  5. Step 5: Solve for x
    x = 1,333,392,335.58/41,914
  6. Step 6: Final answer
    x = 31,812.58

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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.