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Finding the Fourth Proportional to 41,892, 62,849.34 and 14,190

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Solution

The fourth proportional to 41,892, 62,849.34 and 14,190 is: 21,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,892 : 62,849.34 = 14,190 : x
  2. Step 2: Convert to fraction form
    41,892/62,849.34 = 14,190/x
  3. Step 3: Cross multiply
    41,892x = 62,849.34 × 14,190
  4. Step 4: Simplify right side
    41,892x = 891,832,134.60
  5. Step 5: Solve for x
    x = 891,832,134.60/41,892
  6. Step 6: Final answer
    x = 21,288.84

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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.