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Finding the Fourth Proportional to 31,173.32, 46,761.90 and 8,988.20

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Solution

The fourth proportional to 31,173.32, 46,761.90 and 8,988.20 is: 13,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,173.32 : 46,761.90 = 8,988.20 : x
  2. Step 2: Convert to fraction form
    31,173.32/46,761.90 = 8,988.20/x
  3. Step 3: Cross multiply
    31,173.32x = 46,761.90 × 8,988.20
  4. Step 4: Simplify right side
    31,173.32x = 420,305,309.58
  5. Step 5: Solve for x
    x = 420,305,309.58/31,173.32
  6. Step 6: Final answer
    x = 13,482.85

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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.