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Finding the Fourth Proportional to 31,772.25, 47,658.38 and 8,398.69

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Solution

The fourth proportional to 31,772.25, 47,658.38 and 8,398.69 is: 12,598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.25 : 47,658.38 = 8,398.69 : x
  2. Step 2: Convert to fraction form
    31,772.25/47,658.38 = 8,398.69/x
  3. Step 3: Cross multiply
    31,772.25x = 47,658.38 × 8,398.69
  4. Step 4: Simplify right side
    31,772.25x = 400,267,798.38
  5. Step 5: Solve for x
    x = 400,267,798.38/31,772.25
  6. Step 6: Final answer
    x = 12,598.03

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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.