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Finding the Fourth Proportional to 41,893.44, 57,816 and 23,031.36

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Solution

The fourth proportional to 41,893.44, 57,816 and 23,031.36 is: 31,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,893.44 : 57,816 = 23,031.36 : x
  2. Step 2: Convert to fraction form
    41,893.44/57,816 = 23,031.36/x
  3. Step 3: Cross multiply
    41,893.44x = 57,816 × 23,031.36
  4. Step 4: Simplify right side
    41,893.44x = 1,331,581,109.76
  5. Step 5: Solve for x
    x = 1,331,581,109.76/41,893.44
  6. Step 6: Final answer
    x = 31,784.96

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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.