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Finding the Fourth Proportional to 64,805.38, 89,431.42 and 34,997.38

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Solution

The fourth proportional to 64,805.38, 89,431.42 and 34,997.38 is: 48,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,805.38 : 89,431.42 = 34,997.38 : x
  2. Step 2: Convert to fraction form
    64,805.38/89,431.42 = 34,997.38/x
  3. Step 3: Cross multiply
    64,805.38x = 89,431.42 × 34,997.38
  4. Step 4: Simplify right side
    64,805.38x = 3,129,865,389.68
  5. Step 5: Solve for x
    x = 3,129,865,389.68/64,805.38
  6. Step 6: Final answer
    x = 48,296.38

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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.