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Finding the Fourth Proportional to 31,454.16, 47,181.16 and 10,677.64

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Solution

The fourth proportional to 31,454.16, 47,181.16 and 10,677.64 is: 16,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,454.16 : 47,181.16 = 10,677.64 : x
  2. Step 2: Convert to fraction form
    31,454.16/47,181.16 = 10,677.64/x
  3. Step 3: Cross multiply
    31,454.16x = 47,181.16 × 10,677.64
  4. Step 4: Simplify right side
    31,454.16x = 503,783,441.26
  5. Step 5: Solve for x
    x = 503,783,441.26/31,454.16
  6. Step 6: Final answer
    x = 16,016.43

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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.