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Finding the Fourth Proportional to 32,950.77, 45,471.50 and 17,843.30

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Solution

The fourth proportional to 32,950.77, 45,471.50 and 17,843.30 is: 24,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.77 : 45,471.50 = 17,843.30 : x
  2. Step 2: Convert to fraction form
    32,950.77/45,471.50 = 17,843.30/x
  3. Step 3: Cross multiply
    32,950.77x = 45,471.50 × 17,843.30
  4. Step 4: Simplify right side
    32,950.77x = 811,361,299.38
  5. Step 5: Solve for x
    x = 811,361,299.38/32,950.77
  6. Step 6: Final answer
    x = 24,623.44

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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.