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Finding the Fourth Proportional to 65,022.58, 97,514.42 and 33,840.82

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Solution

The fourth proportional to 65,022.58, 97,514.42 and 33,840.82 is: 50,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.58 : 97,514.42 = 33,840.82 : x
  2. Step 2: Convert to fraction form
    65,022.58/97,514.42 = 33,840.82/x
  3. Step 3: Cross multiply
    65,022.58x = 97,514.42 × 33,840.82
  4. Step 4: Simplify right side
    65,022.58x = 3,299,967,447.05
  5. Step 5: Solve for x
    x = 3,299,967,447.05/65,022.58
  6. Step 6: Final answer
    x = 50,751.10

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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.