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Finding the Fourth Proportional to 33,154.20, 45,742.50 and 20,394

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Solution

The fourth proportional to 33,154.20, 45,742.50 and 20,394 is: 28,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,154.20 : 45,742.50 = 20,394 : x
  2. Step 2: Convert to fraction form
    33,154.20/45,742.50 = 20,394/x
  3. Step 3: Cross multiply
    33,154.20x = 45,742.50 × 20,394
  4. Step 4: Simplify right side
    33,154.20x = 932,872,545
  5. Step 5: Solve for x
    x = 932,872,545/33,154.20
  6. Step 6: Final answer
    x = 28,137.39

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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.