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Finding the Fourth Proportional to 31,142.18, 46,713.17 and 13,361.31

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Solution

The fourth proportional to 31,142.18, 46,713.17 and 13,361.31 is: 20,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.18 : 46,713.17 = 13,361.31 : x
  2. Step 2: Convert to fraction form
    31,142.18/46,713.17 = 13,361.31/x
  3. Step 3: Cross multiply
    31,142.18x = 46,713.17 × 13,361.31
  4. Step 4: Simplify right side
    31,142.18x = 624,149,178.86
  5. Step 5: Solve for x
    x = 624,149,178.86/31,142.18
  6. Step 6: Final answer
    x = 20,041.92

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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.