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Finding the Fourth Proportional to 32,567, 44,942.70 and 17,663

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Solution

The fourth proportional to 32,567, 44,942.70 and 17,663 is: 24,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,567 : 44,942.70 = 17,663 : x
  2. Step 2: Convert to fraction form
    32,567/44,942.70 = 17,663/x
  3. Step 3: Cross multiply
    32,567x = 44,942.70 × 17,663
  4. Step 4: Simplify right side
    32,567x = 793,822,910.10
  5. Step 5: Solve for x
    x = 793,822,910.10/32,567
  6. Step 6: Final answer
    x = 24,375.07

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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.