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Finding the Fourth Proportional to 96,546.96, 144,792.72 and 33,350.64

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Solution

The fourth proportional to 96,546.96, 144,792.72 and 33,350.64 is: 50,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,546.96 : 144,792.72 = 33,350.64 : x
  2. Step 2: Convert to fraction form
    96,546.96/144,792.72 = 33,350.64/x
  3. Step 3: Cross multiply
    96,546.96x = 144,792.72 × 33,350.64
  4. Step 4: Simplify right side
    96,546.96x = 4,828,929,879.34
  5. Step 5: Solve for x
    x = 4,828,929,879.34/96,546.96
  6. Step 6: Final answer
    x = 50,016.38

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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.