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Finding the Fourth Proportional to 109,476.92, 164,239.20 and 33,575.50

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Solution

The fourth proportional to 109,476.92, 164,239.20 and 33,575.50 is: 50,370.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,476.92 : 164,239.20 = 33,575.50 : x
  2. Step 2: Convert to fraction form
    109,476.92/164,239.20 = 33,575.50/x
  3. Step 3: Cross multiply
    109,476.92x = 164,239.20 × 33,575.50
  4. Step 4: Simplify right side
    109,476.92x = 5,514,413,259.60
  5. Step 5: Solve for x
    x = 5,514,413,259.60/109,476.92
  6. Step 6: Final answer
    x = 50,370.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.