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Finding the Fourth Proportional to 83,231.88, 114,831.86 and 47,396.48

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Solution

The fourth proportional to 83,231.88, 114,831.86 and 47,396.48 is: 65,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.88 : 114,831.86 = 47,396.48 : x
  2. Step 2: Convert to fraction form
    83,231.88/114,831.86 = 47,396.48/x
  3. Step 3: Cross multiply
    83,231.88x = 114,831.86 × 47,396.48
  4. Step 4: Simplify right side
    83,231.88x = 5,442,625,955.85
  5. Step 5: Solve for x
    x = 5,442,625,955.85/83,231.88
  6. Step 6: Final answer
    x = 65,391.12

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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.