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Finding the Fourth Proportional to 31,737.46, 43,777.90 and 20,421.72

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Solution

The fourth proportional to 31,737.46, 43,777.90 and 20,421.72 is: 28,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.46 : 43,777.90 = 20,421.72 : x
  2. Step 2: Convert to fraction form
    31,737.46/43,777.90 = 20,421.72/x
  3. Step 3: Cross multiply
    31,737.46x = 43,777.90 × 20,421.72
  4. Step 4: Simplify right side
    31,737.46x = 894,020,015.99
  5. Step 5: Solve for x
    x = 894,020,015.99/31,737.46
  6. Step 6: Final answer
    x = 28,169.24

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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.