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Finding the Fourth Proportional to 35,747.73, 49,331.03 and 19,831.77

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Solution

The fourth proportional to 35,747.73, 49,331.03 and 19,831.77 is: 27,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,747.73 : 49,331.03 = 19,831.77 : x
  2. Step 2: Convert to fraction form
    35,747.73/49,331.03 = 19,831.77/x
  3. Step 3: Cross multiply
    35,747.73x = 49,331.03 × 19,831.77
  4. Step 4: Simplify right side
    35,747.73x = 978,321,541.66
  5. Step 5: Solve for x
    x = 978,321,541.66/35,747.73
  6. Step 6: Final answer
    x = 27,367.38

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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.