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Finding the Fourth Proportional to 32,517.88, 48,782.99 and 18,493.74

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Solution

The fourth proportional to 32,517.88, 48,782.99 and 18,493.74 is: 27,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,517.88 : 48,782.99 = 18,493.74 : x
  2. Step 2: Convert to fraction form
    32,517.88/48,782.99 = 18,493.74/x
  3. Step 3: Cross multiply
    32,517.88x = 48,782.99 × 18,493.74
  4. Step 4: Simplify right side
    32,517.88x = 902,179,979.72
  5. Step 5: Solve for x
    x = 902,179,979.72/32,517.88
  6. Step 6: Final answer
    x = 27,744.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.