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Finding the Fourth Proportional to 109,509.45, 164,284.45 and 34,648.44

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Solution

The fourth proportional to 109,509.45, 164,284.45 and 34,648.44 is: 51,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,509.45 : 164,284.45 = 34,648.44 : x
  2. Step 2: Convert to fraction form
    109,509.45/164,284.45 = 34,648.44/x
  3. Step 3: Cross multiply
    109,509.45x = 164,284.45 × 34,648.44
  4. Step 4: Simplify right side
    109,509.45x = 5,692,198,914.09
  5. Step 5: Solve for x
    x = 5,692,198,914.09/109,509.45
  6. Step 6: Final answer
    x = 51,979.07

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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.