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Finding the Fourth Proportional to 109,446.33, 164,174.43 and 33,539.40

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Solution

The fourth proportional to 109,446.33, 164,174.43 and 33,539.40 is: 50,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,446.33 : 164,174.43 = 33,539.40 : x
  2. Step 2: Convert to fraction form
    109,446.33/164,174.43 = 33,539.40/x
  3. Step 3: Cross multiply
    109,446.33x = 164,174.43 × 33,539.40
  4. Step 4: Simplify right side
    109,446.33x = 5,506,311,877.54
  5. Step 5: Solve for x
    x = 5,506,311,877.54/109,446.33
  6. Step 6: Final answer
    x = 50,310.61

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1.5x scale

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.