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Finding the Fourth Proportional to 97,190.89, 145,746.54 and 33,997.52

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Solution

The fourth proportional to 97,190.89, 145,746.54 and 33,997.52 is: 50,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,190.89 : 145,746.54 = 33,997.52 : x
  2. Step 2: Convert to fraction form
    97,190.89/145,746.54 = 33,997.52/x
  3. Step 3: Cross multiply
    97,190.89x = 145,746.54 × 33,997.52
  4. Step 4: Simplify right side
    97,190.89x = 4,955,021,272.95
  5. Step 5: Solve for x
    x = 4,955,021,272.95/97,190.89
  6. Step 6: Final answer
    x = 50,982.36

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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.