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Finding the Fourth Proportional to 31,697.97, 47,545.34 and 9,511.53

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Solution

The fourth proportional to 31,697.97, 47,545.34 and 9,511.53 is: 14,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.97 : 47,545.34 = 9,511.53 : x
  2. Step 2: Convert to fraction form
    31,697.97/47,545.34 = 9,511.53/x
  3. Step 3: Cross multiply
    31,697.97x = 47,545.34 × 9,511.53
  4. Step 4: Simplify right side
    31,697.97x = 452,228,880.21
  5. Step 5: Solve for x
    x = 452,228,880.21/31,697.97
  6. Step 6: Final answer
    x = 14,266.81

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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.