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Finding the Fourth Proportional to 32,467, 44,804.50 and 17,563

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Solution

The fourth proportional to 32,467, 44,804.50 and 17,563 is: 24,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,467 : 44,804.50 = 17,563 : x
  2. Step 2: Convert to fraction form
    32,467/44,804.50 = 17,563/x
  3. Step 3: Cross multiply
    32,467x = 44,804.50 × 17,563
  4. Step 4: Simplify right side
    32,467x = 786,901,433.50
  5. Step 5: Solve for x
    x = 786,901,433.50/32,467
  6. Step 6: Final answer
    x = 24,236.96

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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.