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Finding the Fourth Proportional to 32,529, 44,890.05 and 17,625

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Solution

The fourth proportional to 32,529, 44,890.05 and 17,625 is: 24,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,529 : 44,890.05 = 17,625 : x
  2. Step 2: Convert to fraction form
    32,529/44,890.05 = 17,625/x
  3. Step 3: Cross multiply
    32,529x = 44,890.05 × 17,625
  4. Step 4: Simplify right side
    32,529x = 791,187,131.25
  5. Step 5: Solve for x
    x = 791,187,131.25/32,529
  6. Step 6: Final answer
    x = 24,322.52

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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.