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Finding the Fourth Proportional to 39,738.40, 54,843.76 and 23,831.60

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Solution

The fourth proportional to 39,738.40, 54,843.76 and 23,831.60 is: 32,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,738.40 : 54,843.76 = 23,831.60 : x
  2. Step 2: Convert to fraction form
    39,738.40/54,843.76 = 23,831.60/x
  3. Step 3: Cross multiply
    39,738.40x = 54,843.76 × 23,831.60
  4. Step 4: Simplify right side
    39,738.40x = 1,307,014,550.82
  5. Step 5: Solve for x
    x = 1,307,014,550.82/39,738.40
  6. Step 6: Final answer
    x = 32,890.47

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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.