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Finding the Fourth Proportional to 31,463.64, 47,193.84 and 8,091.36

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Solution

The fourth proportional to 31,463.64, 47,193.84 and 8,091.36 is: 12,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.64 : 47,193.84 = 8,091.36 : x
  2. Step 2: Convert to fraction form
    31,463.64/47,193.84 = 8,091.36/x
  3. Step 3: Cross multiply
    31,463.64x = 47,193.84 × 8,091.36
  4. Step 4: Simplify right side
    31,463.64x = 381,862,349.22
  5. Step 5: Solve for x
    x = 381,862,349.22/31,463.64
  6. Step 6: Final answer
    x = 12,136.62

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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.