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Finding the Fourth Proportional to 96,822.54, 145,254.47 and 33,644.57

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Solution

The fourth proportional to 96,822.54, 145,254.47 and 33,644.57 is: 50,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822.54 : 145,254.47 = 33,644.57 : x
  2. Step 2: Convert to fraction form
    96,822.54/145,254.47 = 33,644.57/x
  3. Step 3: Cross multiply
    96,822.54x = 145,254.47 × 33,644.57
  4. Step 4: Simplify right side
    96,822.54x = 4,887,023,289.23
  5. Step 5: Solve for x
    x = 4,887,023,289.23/96,822.54
  6. Step 6: Final answer
    x = 50,474.02

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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.