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Finding the Fourth Proportional to 50,602.06, 69,831.96 and 27,941

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Solution

The fourth proportional to 50,602.06, 69,831.96 and 27,941 is: 38,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,602.06 : 69,831.96 = 27,941 : x
  2. Step 2: Convert to fraction form
    50,602.06/69,831.96 = 27,941/x
  3. Step 3: Cross multiply
    50,602.06x = 69,831.96 × 27,941
  4. Step 4: Simplify right side
    50,602.06x = 1,951,174,794.36
  5. Step 5: Solve for x
    x = 1,951,174,794.36/50,602.06
  6. Step 6: Final answer
    x = 38,559.20

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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.