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Finding the Fourth Proportional to 72,208.32, 108,287.84 and 27,831.36

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Solution

The fourth proportional to 72,208.32, 108,287.84 and 27,831.36 is: 41,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,208.32 : 108,287.84 = 27,831.36 : x
  2. Step 2: Convert to fraction form
    72,208.32/108,287.84 = 27,831.36/x
  3. Step 3: Cross multiply
    72,208.32x = 108,287.84 × 27,831.36
  4. Step 4: Simplify right side
    72,208.32x = 3,013,797,858.66
  5. Step 5: Solve for x
    x = 3,013,797,858.66/72,208.32
  6. Step 6: Final answer
    x = 41,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.