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Finding the Fourth Proportional to 65,180.24, 97,750.80 and 33,998.48

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Solution

The fourth proportional to 65,180.24, 97,750.80 and 33,998.48 is: 50,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,180.24 : 97,750.80 = 33,998.48 : x
  2. Step 2: Convert to fraction form
    65,180.24/97,750.80 = 33,998.48/x
  3. Step 3: Cross multiply
    65,180.24x = 97,750.80 × 33,998.48
  4. Step 4: Simplify right side
    65,180.24x = 3,323,378,618.78
  5. Step 5: Solve for x
    x = 3,323,378,618.78/65,180.24
  6. Step 6: Final answer
    x = 50,987.52

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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.