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Finding the Fourth Proportional to 65,998.77, 91,078.97 and 35,784.15

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Solution

The fourth proportional to 65,998.77, 91,078.97 and 35,784.15 is: 49,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,998.77 : 91,078.97 = 35,784.15 : x
  2. Step 2: Convert to fraction form
    65,998.77/91,078.97 = 35,784.15/x
  3. Step 3: Cross multiply
    65,998.77x = 91,078.97 × 35,784.15
  4. Step 4: Simplify right side
    65,998.77x = 3,259,183,158.39
  5. Step 5: Solve for x
    x = 3,259,183,158.39/65,998.77
  6. Step 6: Final answer
    x = 49,382.49

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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.