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Finding the Fourth Proportional to 68,242.28, 102,314.95 and 26,086.84

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Solution

The fourth proportional to 68,242.28, 102,314.95 and 26,086.84 is: 39,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,242.28 : 102,314.95 = 26,086.84 : x
  2. Step 2: Convert to fraction form
    68,242.28/102,314.95 = 26,086.84/x
  3. Step 3: Cross multiply
    68,242.28x = 102,314.95 × 26,086.84
  4. Step 4: Simplify right side
    68,242.28x = 2,669,073,409.25
  5. Step 5: Solve for x
    x = 2,669,073,409.25/68,242.28
  6. Step 6: Final answer
    x = 39,111.73

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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.