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Finding the Fourth Proportional to 32,171.64, 44,398.08 and 18,024

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Solution

The fourth proportional to 32,171.64, 44,398.08 and 18,024 is: 24,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.64 : 44,398.08 = 18,024 : x
  2. Step 2: Convert to fraction form
    32,171.64/44,398.08 = 18,024/x
  3. Step 3: Cross multiply
    32,171.64x = 44,398.08 × 18,024
  4. Step 4: Simplify right side
    32,171.64x = 800,230,993.92
  5. Step 5: Solve for x
    x = 800,230,993.92/32,171.64
  6. Step 6: Final answer
    x = 24,873.80

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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.