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Finding the Fourth Proportional to 32,008.32, 44,171.34 and 17,861.16

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Solution

The fourth proportional to 32,008.32, 44,171.34 and 17,861.16 is: 24,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.32 : 44,171.34 = 17,861.16 : x
  2. Step 2: Convert to fraction form
    32,008.32/44,171.34 = 17,861.16/x
  3. Step 3: Cross multiply
    32,008.32x = 44,171.34 × 17,861.16
  4. Step 4: Simplify right side
    32,008.32x = 788,951,371.15
  5. Step 5: Solve for x
    x = 788,951,371.15/32,008.32
  6. Step 6: Final answer
    x = 24,648.32

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Why These Related Problems?

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