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Finding the Fourth Proportional to 31,772.70, 47,655.40 and 8,400.96

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Solution

The fourth proportional to 31,772.70, 47,655.40 and 8,400.96 is: 12,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.70 : 47,655.40 = 8,400.96 : x
  2. Step 2: Convert to fraction form
    31,772.70/47,655.40 = 8,400.96/x
  3. Step 3: Cross multiply
    31,772.70x = 47,655.40 × 8,400.96
  4. Step 4: Simplify right side
    31,772.70x = 400,351,109.18
  5. Step 5: Solve for x
    x = 400,351,109.18/31,772.70
  6. Step 6: Final answer
    x = 12,600.47

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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.