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Finding the Fourth Proportional to 96,233.12, 144,346.44 and 33,902

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Solution

The fourth proportional to 96,233.12, 144,346.44 and 33,902 is: 50,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,233.12 : 144,346.44 = 33,902 : x
  2. Step 2: Convert to fraction form
    96,233.12/144,346.44 = 33,902/x
  3. Step 3: Cross multiply
    96,233.12x = 144,346.44 × 33,902
  4. Step 4: Simplify right side
    96,233.12x = 4,893,633,008.88
  5. Step 5: Solve for x
    x = 4,893,633,008.88/96,233.12
  6. Step 6: Final answer
    x = 50,851.86

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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.