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Finding the Fourth Proportional to 65,194.93, 89,969.30 and 36,906.09

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Solution

The fourth proportional to 65,194.93, 89,969.30 and 36,906.09 is: 50,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194.93 : 89,969.30 = 36,906.09 : x
  2. Step 2: Convert to fraction form
    65,194.93/89,969.30 = 36,906.09/x
  3. Step 3: Cross multiply
    65,194.93x = 89,969.30 × 36,906.09
  4. Step 4: Simplify right side
    65,194.93x = 3,320,415,083.04
  5. Step 5: Solve for x
    x = 3,320,415,083.04/65,194.93
  6. Step 6: Final answer
    x = 50,930.57

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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.