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Finding the Fourth Proportional to 32,011.12, 44,164.96 and 17,861.20

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Solution

The fourth proportional to 32,011.12, 44,164.96 and 17,861.20 is: 24,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.12 : 44,164.96 = 17,861.20 : x
  2. Step 2: Convert to fraction form
    32,011.12/44,164.96 = 17,861.20/x
  3. Step 3: Cross multiply
    32,011.12x = 44,164.96 × 17,861.20
  4. Step 4: Simplify right side
    32,011.12x = 788,839,183.55
  5. Step 5: Solve for x
    x = 788,839,183.55/32,011.12
  6. Step 6: Final answer
    x = 24,642.66

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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.