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Finding the Fourth Proportional to 109,892.52, 164,829.67 and 35,009.64

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Solution

The fourth proportional to 109,892.52, 164,829.67 and 35,009.64 is: 52,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,892.52 : 164,829.67 = 35,009.64 : x
  2. Step 2: Convert to fraction form
    109,892.52/164,829.67 = 35,009.64/x
  3. Step 3: Cross multiply
    109,892.52x = 164,829.67 × 35,009.64
  4. Step 4: Simplify right side
    109,892.52x = 5,770,627,320.49
  5. Step 5: Solve for x
    x = 5,770,627,320.49/109,892.52
  6. Step 6: Final answer
    x = 52,511.56

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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.