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Finding the Fourth Proportional to 32,171.61, 44,398.45 and 17,832.96

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Solution

The fourth proportional to 32,171.61, 44,398.45 and 17,832.96 is: 24,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.61 : 44,398.45 = 17,832.96 : x
  2. Step 2: Convert to fraction form
    32,171.61/44,398.45 = 17,832.96/x
  3. Step 3: Cross multiply
    32,171.61x = 44,398.45 × 17,832.96
  4. Step 4: Simplify right side
    32,171.61x = 791,755,855.36
  5. Step 5: Solve for x
    x = 791,755,855.36/32,171.61
  6. Step 6: Final answer
    x = 24,610.39

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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.