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Finding the Fourth Proportional to 68,463.36, 102,674.64 and 29,019.84

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Solution

The fourth proportional to 68,463.36, 102,674.64 and 29,019.84 is: 43,521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,463.36 : 102,674.64 = 29,019.84 : x
  2. Step 2: Convert to fraction form
    68,463.36/102,674.64 = 29,019.84/x
  3. Step 3: Cross multiply
    68,463.36x = 102,674.64 × 29,019.84
  4. Step 4: Simplify right side
    68,463.36x = 2,979,601,624.86
  5. Step 5: Solve for x
    x = 2,979,601,624.86/68,463.36
  6. Step 6: Final answer
    x = 43,521.11

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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.