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Finding the Fourth Proportional to 33,078.38, 45,648.32 and 17,971.10

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Solution

The fourth proportional to 33,078.38, 45,648.32 and 17,971.10 is: 24,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.38 : 45,648.32 = 17,971.10 : x
  2. Step 2: Convert to fraction form
    33,078.38/45,648.32 = 17,971.10/x
  3. Step 3: Cross multiply
    33,078.38x = 45,648.32 × 17,971.10
  4. Step 4: Simplify right side
    33,078.38x = 820,350,523.55
  5. Step 5: Solve for x
    x = 820,350,523.55/33,078.38
  6. Step 6: Final answer
    x = 24,800.20

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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.