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Finding the Fourth Proportional to 31,614.96, 43,629.53 and 17,468.72

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Solution

The fourth proportional to 31,614.96, 43,629.53 and 17,468.72 is: 24,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.96 : 43,629.53 = 17,468.72 : x
  2. Step 2: Convert to fraction form
    31,614.96/43,629.53 = 17,468.72/x
  3. Step 3: Cross multiply
    31,614.96x = 43,629.53 × 17,468.72
  4. Step 4: Simplify right side
    31,614.96x = 762,151,737.81
  5. Step 5: Solve for x
    x = 762,151,737.81/31,614.96
  6. Step 6: Final answer
    x = 24,107.31

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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.