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Finding the Fourth Proportional to 109,481.99, 164,231.63 and 34,607.84

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Solution

The fourth proportional to 109,481.99, 164,231.63 and 34,607.84 is: 51,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481.99 : 164,231.63 = 34,607.84 : x
  2. Step 2: Convert to fraction form
    109,481.99/164,231.63 = 34,607.84/x
  3. Step 3: Cross multiply
    109,481.99x = 164,231.63 × 34,607.84
  4. Step 4: Simplify right side
    109,481.99x = 5,683,700,979.78
  5. Step 5: Solve for x
    x = 5,683,700,979.78/109,481.99
  6. Step 6: Final answer
    x = 51,914.49

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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.