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Finding the Fourth Proportional to 107,746.18, 161,644.71 and 33,874.18

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Solution

The fourth proportional to 107,746.18, 161,644.71 and 33,874.18 is: 50,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,746.18 : 161,644.71 = 33,874.18 : x
  2. Step 2: Convert to fraction form
    107,746.18/161,644.71 = 33,874.18/x
  3. Step 3: Cross multiply
    107,746.18x = 161,644.71 × 33,874.18
  4. Step 4: Simplify right side
    107,746.18x = 5,475,582,002.59
  5. Step 5: Solve for x
    x = 5,475,582,002.59/107,746.18
  6. Step 6: Final answer
    x = 50,819.27

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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.