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Finding the Fourth Proportional to 101,306.94, 151,960.49 and 26,427

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Solution

The fourth proportional to 101,306.94, 151,960.49 and 26,427 is: 39,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306.94 : 151,960.49 = 26,427 : x
  2. Step 2: Convert to fraction form
    101,306.94/151,960.49 = 26,427/x
  3. Step 3: Cross multiply
    101,306.94x = 151,960.49 × 26,427
  4. Step 4: Simplify right side
    101,306.94x = 4,015,859,869.23
  5. Step 5: Solve for x
    x = 4,015,859,869.23/101,306.94
  6. Step 6: Final answer
    x = 39,640.52

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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.