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Finding the Fourth Proportional to 32,000.65, 44,163.38 and 17,663.29

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Solution

The fourth proportional to 32,000.65, 44,163.38 and 17,663.29 is: 24,376.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.65 : 44,163.38 = 17,663.29 : x
  2. Step 2: Convert to fraction form
    32,000.65/44,163.38 = 17,663.29/x
  3. Step 3: Cross multiply
    32,000.65x = 44,163.38 × 17,663.29
  4. Step 4: Simplify right side
    32,000.65x = 780,070,588.32
  5. Step 5: Solve for x
    x = 780,070,588.32/32,000.65
  6. Step 6: Final answer
    x = 24,376.71

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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.