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Finding the Fourth Proportional to 64,816, 89,446.14 and 35,008

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Solution

The fourth proportional to 64,816, 89,446.14 and 35,008 is: 48,311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,816 : 89,446.14 = 35,008 : x
  2. Step 2: Convert to fraction form
    64,816/89,446.14 = 35,008/x
  3. Step 3: Cross multiply
    64,816x = 89,446.14 × 35,008
  4. Step 4: Simplify right side
    64,816x = 3,131,330,469.12
  5. Step 5: Solve for x
    x = 3,131,330,469.12/64,816
  6. Step 6: Final answer
    x = 48,311.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.