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Finding the Fourth Proportional to 31,493.45, 43,469.90 and 20,746.16

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Solution

The fourth proportional to 31,493.45, 43,469.90 and 20,746.16 is: 28,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493.45 : 43,469.90 = 20,746.16 : x
  2. Step 2: Convert to fraction form
    31,493.45/43,469.90 = 20,746.16/x
  3. Step 3: Cross multiply
    31,493.45x = 43,469.90 × 20,746.16
  4. Step 4: Simplify right side
    31,493.45x = 901,833,500.58
  5. Step 5: Solve for x
    x = 901,833,500.58/31,493.45
  6. Step 6: Final answer
    x = 28,635.59

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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.