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Finding the Fourth Proportional to 32,005.96, 44,168.16 and 17,857.96

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Solution

The fourth proportional to 32,005.96, 44,168.16 and 17,857.96 is: 24,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.96 : 44,168.16 = 17,857.96 : x
  2. Step 2: Convert to fraction form
    32,005.96/44,168.16 = 17,857.96/x
  3. Step 3: Cross multiply
    32,005.96x = 44,168.16 × 17,857.96
  4. Step 4: Simplify right side
    32,005.96x = 788,753,234.55
  5. Step 5: Solve for x
    x = 788,753,234.55/32,005.96
  6. Step 6: Final answer
    x = 24,643.95

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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.