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Finding the Fourth Proportional to 68,115.32, 102,195.94 and 30,159.36

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Solution

The fourth proportional to 68,115.32, 102,195.94 and 30,159.36 is: 45,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,115.32 : 102,195.94 = 30,159.36 : x
  2. Step 2: Convert to fraction form
    68,115.32/102,195.94 = 30,159.36/x
  3. Step 3: Cross multiply
    68,115.32x = 102,195.94 × 30,159.36
  4. Step 4: Simplify right side
    68,115.32x = 3,082,164,145.00
  5. Step 5: Solve for x
    x = 3,082,164,145.00/68,115.32
  6. Step 6: Final answer
    x = 45,249.21

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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.