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Finding the Fourth Proportional to 102,864.64, 154,296.96 and 32,744

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Solution

The fourth proportional to 102,864.64, 154,296.96 and 32,744 is: 49,116

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,864.64 : 154,296.96 = 32,744 : x
  2. Step 2: Convert to fraction form
    102,864.64/154,296.96 = 32,744/x
  3. Step 3: Cross multiply
    102,864.64x = 154,296.96 × 32,744
  4. Step 4: Simplify right side
    102,864.64x = 5,052,299,658.24
  5. Step 5: Solve for x
    x = 5,052,299,658.24/102,864.64
  6. Step 6: Final answer
    x = 49,116

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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.