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Finding the Fourth Proportional to 32,727, 45,163.26 and 17,823

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Solution

The fourth proportional to 32,727, 45,163.26 and 17,823 is: 24,595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,727 : 45,163.26 = 17,823 : x
  2. Step 2: Convert to fraction form
    32,727/45,163.26 = 17,823/x
  3. Step 3: Cross multiply
    32,727x = 45,163.26 × 17,823
  4. Step 4: Simplify right side
    32,727x = 804,944,782.98
  5. Step 5: Solve for x
    x = 804,944,782.98/32,727
  6. Step 6: Final answer
    x = 24,595.74

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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.