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Finding the Fourth Proportional to 53,561.64, 73,906.38 and 33,415.32

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Solution

The fourth proportional to 53,561.64, 73,906.38 and 33,415.32 is: 46,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,561.64 : 73,906.38 = 33,415.32 : x
  2. Step 2: Convert to fraction form
    53,561.64/73,906.38 = 33,415.32/x
  3. Step 3: Cross multiply
    53,561.64x = 73,906.38 × 33,415.32
  4. Step 4: Simplify right side
    53,561.64x = 2,469,605,337.74
  5. Step 5: Solve for x
    x = 2,469,605,337.74/53,561.64
  6. Step 6: Final answer
    x = 46,107.72

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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.