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Finding the Fourth Proportional to 65,198.25, 89,979.05 and 41,316.21

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Solution

The fourth proportional to 65,198.25, 89,979.05 and 41,316.21 is: 57,019.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,198.25 : 89,979.05 = 41,316.21 : x
  2. Step 2: Convert to fraction form
    65,198.25/89,979.05 = 41,316.21/x
  3. Step 3: Cross multiply
    65,198.25x = 89,979.05 × 41,316.21
  4. Step 4: Simplify right side
    65,198.25x = 3,717,593,428.69
  5. Step 5: Solve for x
    x = 3,717,593,428.69/65,198.25
  6. Step 6: Final answer
    x = 57,019.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.