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Finding the Fourth Proportional to 31,999.46, 44,158.64 and 17,660.64

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Solution

The fourth proportional to 31,999.46, 44,158.64 and 17,660.64 is: 24,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.46 : 44,158.64 = 17,660.64 : x
  2. Step 2: Convert to fraction form
    31,999.46/44,158.64 = 17,660.64/x
  3. Step 3: Cross multiply
    31,999.46x = 44,158.64 × 17,660.64
  4. Step 4: Simplify right side
    31,999.46x = 779,869,843.93
  5. Step 5: Solve for x
    x = 779,869,843.93/31,999.46
  6. Step 6: Final answer
    x = 24,371.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.