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Finding the Fourth Proportional to 96,186.08, 144,264.54 and 33,842

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Solution

The fourth proportional to 96,186.08, 144,264.54 and 33,842 is: 50,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,186.08 : 144,264.54 = 33,842 : x
  2. Step 2: Convert to fraction form
    96,186.08/144,264.54 = 33,842/x
  3. Step 3: Cross multiply
    96,186.08x = 144,264.54 × 33,842
  4. Step 4: Simplify right side
    96,186.08x = 4,882,200,562.68
  5. Step 5: Solve for x
    x = 4,882,200,562.68/96,186.08
  6. Step 6: Final answer
    x = 50,757.87

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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.