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Finding the Fourth Proportional to 68,029.76, 102,045.66 and 25,912.16

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Solution

The fourth proportional to 68,029.76, 102,045.66 and 25,912.16 is: 38,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,029.76 : 102,045.66 = 25,912.16 : x
  2. Step 2: Convert to fraction form
    68,029.76/102,045.66 = 25,912.16/x
  3. Step 3: Cross multiply
    68,029.76x = 102,045.66 × 25,912.16
  4. Step 4: Simplify right side
    68,029.76x = 2,644,223,469.23
  5. Step 5: Solve for x
    x = 2,644,223,469.23/68,029.76
  6. Step 6: Final answer
    x = 38,868.63

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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.