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Finding the Fourth Proportional to 31,177.98, 46,773.89 and 8,989.62

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Solution

The fourth proportional to 31,177.98, 46,773.89 and 8,989.62 is: 13,486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.98 : 46,773.89 = 8,989.62 : x
  2. Step 2: Convert to fraction form
    31,177.98/46,773.89 = 8,989.62/x
  3. Step 3: Cross multiply
    31,177.98x = 46,773.89 × 8,989.62
  4. Step 4: Simplify right side
    31,177.98x = 420,479,497.02
  5. Step 5: Solve for x
    x = 420,479,497.02/31,177.98
  6. Step 6: Final answer
    x = 13,486.43

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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.