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Finding the Fourth Proportional to 36,943, 55,414.50 and 9,241

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Solution

The fourth proportional to 36,943, 55,414.50 and 9,241 is: 13,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,943 : 55,414.50 = 9,241 : x
  2. Step 2: Convert to fraction form
    36,943/55,414.50 = 9,241/x
  3. Step 3: Cross multiply
    36,943x = 55,414.50 × 9,241
  4. Step 4: Simplify right side
    36,943x = 512,085,394.50
  5. Step 5: Solve for x
    x = 512,085,394.50/36,943
  6. Step 6: Final answer
    x = 13,861.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.