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Finding the Fourth Proportional to 96,967.78, 145,405.44 and 33,780.13

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Solution

The fourth proportional to 96,967.78, 145,405.44 and 33,780.13 is: 50,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,967.78 : 145,405.44 = 33,780.13 : x
  2. Step 2: Convert to fraction form
    96,967.78/145,405.44 = 33,780.13/x
  3. Step 3: Cross multiply
    96,967.78x = 145,405.44 × 33,780.13
  4. Step 4: Simplify right side
    96,967.78x = 4,911,814,665.91
  5. Step 5: Solve for x
    x = 4,911,814,665.91/96,967.78
  6. Step 6: Final answer
    x = 50,654.09

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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.