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Finding the Fourth Proportional to 31,149.24, 46,737.56 and 16,354.72

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Solution

The fourth proportional to 31,149.24, 46,737.56 and 16,354.72 is: 24,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.24 : 46,737.56 = 16,354.72 : x
  2. Step 2: Convert to fraction form
    31,149.24/46,737.56 = 16,354.72/x
  3. Step 3: Cross multiply
    31,149.24x = 46,737.56 × 16,354.72
  4. Step 4: Simplify right side
    31,149.24x = 764,379,707.28
  5. Step 5: Solve for x
    x = 764,379,707.28/31,149.24
  6. Step 6: Final answer
    x = 24,539.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.