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Finding the Fourth Proportional to 96,824.54, 145,257.46 and 33,646.56

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Solution

The fourth proportional to 96,824.54, 145,257.46 and 33,646.56 is: 50,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,824.54 : 145,257.46 = 33,646.56 : x
  2. Step 2: Convert to fraction form
    96,824.54/145,257.46 = 33,646.56/x
  3. Step 3: Cross multiply
    96,824.54x = 145,257.46 × 33,646.56
  4. Step 4: Simplify right side
    96,824.54x = 4,887,413,843.34
  5. Step 5: Solve for x
    x = 4,887,413,843.34/96,824.54
  6. Step 6: Final answer
    x = 50,477.02

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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.