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Finding the Fourth Proportional to 31,997.61, 44,157.92 and 17,853.21

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Solution

The fourth proportional to 31,997.61, 44,157.92 and 17,853.21 is: 24,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.61 : 44,157.92 = 17,853.21 : x
  2. Step 2: Convert to fraction form
    31,997.61/44,157.92 = 17,853.21/x
  3. Step 3: Cross multiply
    31,997.61x = 44,157.92 × 17,853.21
  4. Step 4: Simplify right side
    31,997.61x = 788,360,529.66
  5. Step 5: Solve for x
    x = 788,360,529.66/31,997.61
  6. Step 6: Final answer
    x = 24,638.11

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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.