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Finding the Fourth Proportional to 31,685.60, 47,528.28 and 7,993.21

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Solution

The fourth proportional to 31,685.60, 47,528.28 and 7,993.21 is: 11,989.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,685.60 : 47,528.28 = 7,993.21 : x
  2. Step 2: Convert to fraction form
    31,685.60/47,528.28 = 7,993.21/x
  3. Step 3: Cross multiply
    31,685.60x = 47,528.28 × 7,993.21
  4. Step 4: Simplify right side
    31,685.60x = 379,903,404.16
  5. Step 5: Solve for x
    x = 379,903,404.16/31,685.60
  6. Step 6: Final answer
    x = 11,989.78

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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.