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Finding the Fourth Proportional to 68,064.91, 102,089.16 and 23,687.94

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Solution

The fourth proportional to 68,064.91, 102,089.16 and 23,687.94 is: 35,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064.91 : 102,089.16 = 23,687.94 : x
  2. Step 2: Convert to fraction form
    68,064.91/102,089.16 = 23,687.94/x
  3. Step 3: Cross multiply
    68,064.91x = 102,089.16 × 23,687.94
  4. Step 4: Simplify right side
    68,064.91x = 2,418,282,279.56
  5. Step 5: Solve for x
    x = 2,418,282,279.56/68,064.91
  6. Step 6: Final answer
    x = 35,529.06

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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.