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Finding the Fourth Proportional to 41,973.24, 57,910.06 and 23,821

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Solution

The fourth proportional to 41,973.24, 57,910.06 and 23,821 is: 32,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,973.24 : 57,910.06 = 23,821 : x
  2. Step 2: Convert to fraction form
    41,973.24/57,910.06 = 23,821/x
  3. Step 3: Cross multiply
    41,973.24x = 57,910.06 × 23,821
  4. Step 4: Simplify right side
    41,973.24x = 1,379,475,539.26
  5. Step 5: Solve for x
    x = 1,379,475,539.26/41,973.24
  6. Step 6: Final answer
    x = 32,865.60

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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.