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Finding the Fourth Proportional to 68,294.76, 94,247.16 and 38,082

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Solution

The fourth proportional to 68,294.76, 94,247.16 and 38,082 is: 52,553.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,294.76 : 94,247.16 = 38,082 : x
  2. Step 2: Convert to fraction form
    68,294.76/94,247.16 = 38,082/x
  3. Step 3: Cross multiply
    68,294.76x = 94,247.16 × 38,082
  4. Step 4: Simplify right side
    68,294.76x = 3,589,120,347.12
  5. Step 5: Solve for x
    x = 3,589,120,347.12/68,294.76
  6. Step 6: Final answer
    x = 52,553.38

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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.