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Finding the Fourth Proportional to 31,705.64, 43,753.24 and 17,558.18

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Solution

The fourth proportional to 31,705.64, 43,753.24 and 17,558.18 is: 24,229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.64 : 43,753.24 = 17,558.18 : x
  2. Step 2: Convert to fraction form
    31,705.64/43,753.24 = 17,558.18/x
  3. Step 3: Cross multiply
    31,705.64x = 43,753.24 × 17,558.18
  4. Step 4: Simplify right side
    31,705.64x = 768,227,263.50
  5. Step 5: Solve for x
    x = 768,227,263.50/31,705.64
  6. Step 6: Final answer
    x = 24,229.99

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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.