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Finding the Fourth Proportional to 32,169.76, 44,394 and 18,022.72

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Solution

The fourth proportional to 32,169.76, 44,394 and 18,022.72 is: 24,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.76 : 44,394 = 18,022.72 : x
  2. Step 2: Convert to fraction form
    32,169.76/44,394 = 18,022.72/x
  3. Step 3: Cross multiply
    32,169.76x = 44,394 × 18,022.72
  4. Step 4: Simplify right side
    32,169.76x = 800,100,631.68
  5. Step 5: Solve for x
    x = 800,100,631.68/32,169.76
  6. Step 6: Final answer
    x = 24,871.20

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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.