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Finding the Fourth Proportional to 65,249.57, 97,858.37 and 20,867.13

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Solution

The fourth proportional to 65,249.57, 97,858.37 and 20,867.13 is: 31,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249.57 : 97,858.37 = 20,867.13 : x
  2. Step 2: Convert to fraction form
    65,249.57/97,858.37 = 20,867.13/x
  3. Step 3: Cross multiply
    65,249.57x = 97,858.37 × 20,867.13
  4. Step 4: Simplify right side
    65,249.57x = 2,042,023,224.04
  5. Step 5: Solve for x
    x = 2,042,023,224.04/65,249.57
  6. Step 6: Final answer
    x = 31,295.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.