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Finding the Fourth Proportional to 32,167.64, 44,394 and 18,021.80

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Solution

The fourth proportional to 32,167.64, 44,394 and 18,021.80 is: 24,871.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.64 : 44,394 = 18,021.80 : x
  2. Step 2: Convert to fraction form
    32,167.64/44,394 = 18,021.80/x
  3. Step 3: Cross multiply
    32,167.64x = 44,394 × 18,021.80
  4. Step 4: Simplify right side
    32,167.64x = 800,059,789.20
  5. Step 5: Solve for x
    x = 800,059,789.20/32,167.64
  6. Step 6: Final answer
    x = 24,871.57

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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.