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Finding the Fourth Proportional to 40,505.86, 55,891.38 and 27,055.54

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Solution

The fourth proportional to 40,505.86, 55,891.38 and 27,055.54 is: 37,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,505.86 : 55,891.38 = 27,055.54 : x
  2. Step 2: Convert to fraction form
    40,505.86/55,891.38 = 27,055.54/x
  3. Step 3: Cross multiply
    40,505.86x = 55,891.38 × 27,055.54
  4. Step 4: Simplify right side
    40,505.86x = 1,512,171,467.25
  5. Step 5: Solve for x
    x = 1,512,171,467.25/40,505.86
  6. Step 6: Final answer
    x = 37,332.17

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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.