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Finding the Fourth Proportional to 96,775.47, 145,163.15 and 30,221.30

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Solution

The fourth proportional to 96,775.47, 145,163.15 and 30,221.30 is: 45,331.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,775.47 : 145,163.15 = 30,221.30 : x
  2. Step 2: Convert to fraction form
    96,775.47/145,163.15 = 30,221.30/x
  3. Step 3: Cross multiply
    96,775.47x = 145,163.15 × 30,221.30
  4. Step 4: Simplify right side
    96,775.47x = 4,387,019,105.10
  5. Step 5: Solve for x
    x = 4,387,019,105.10/96,775.47
  6. Step 6: Final answer
    x = 45,331.93

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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.