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Finding the Fourth Proportional to 31,463.32, 47,193.86 and 13,693.94

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Solution

The fourth proportional to 31,463.32, 47,193.86 and 13,693.94 is: 20,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.32 : 47,193.86 = 13,693.94 : x
  2. Step 2: Convert to fraction form
    31,463.32/47,193.86 = 13,693.94/x
  3. Step 3: Cross multiply
    31,463.32x = 47,193.86 × 13,693.94
  4. Step 4: Simplify right side
    31,463.32x = 646,270,039.43
  5. Step 5: Solve for x
    x = 646,270,039.43/31,463.32
  6. Step 6: Final answer
    x = 20,540.43

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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.