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Finding the Fourth Proportional to 31,896.96, 47,845.20 and 14,354.40

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Solution

The fourth proportional to 31,896.96, 47,845.20 and 14,354.40 is: 21,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,896.96 : 47,845.20 = 14,354.40 : x
  2. Step 2: Convert to fraction form
    31,896.96/47,845.20 = 14,354.40/x
  3. Step 3: Cross multiply
    31,896.96x = 47,845.20 × 14,354.40
  4. Step 4: Simplify right side
    31,896.96x = 686,789,138.88
  5. Step 5: Solve for x
    x = 686,789,138.88/31,896.96
  6. Step 6: Final answer
    x = 21,531.49

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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.