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Finding the Fourth Proportional to 65,022.83, 97,514.80 and 33,841.07

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Solution

The fourth proportional to 65,022.83, 97,514.80 and 33,841.07 is: 50,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.83 : 97,514.80 = 33,841.07 : x
  2. Step 2: Convert to fraction form
    65,022.83/97,514.80 = 33,841.07/x
  3. Step 3: Cross multiply
    65,022.83x = 97,514.80 × 33,841.07
  4. Step 4: Simplify right side
    65,022.83x = 3,300,004,600.66
  5. Step 5: Solve for x
    x = 3,300,004,600.66/65,022.83
  6. Step 6: Final answer
    x = 50,751.48

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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.