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Finding the Fourth Proportional to 31,175.16, 46,770.78 and 8,990.28

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Solution

The fourth proportional to 31,175.16, 46,770.78 and 8,990.28 is: 13,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,175.16 : 46,770.78 = 8,990.28 : x
  2. Step 2: Convert to fraction form
    31,175.16/46,770.78 = 8,990.28/x
  3. Step 3: Cross multiply
    31,175.16x = 46,770.78 × 8,990.28
  4. Step 4: Simplify right side
    31,175.16x = 420,482,408.02
  5. Step 5: Solve for x
    x = 420,482,408.02/31,175.16
  6. Step 6: Final answer
    x = 13,487.74

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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.