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Finding the Fourth Proportional to 34,180.29, 47,163.14 and 22,831.58

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Solution

The fourth proportional to 34,180.29, 47,163.14 and 22,831.58 is: 31,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,180.29 : 47,163.14 = 22,831.58 : x
  2. Step 2: Convert to fraction form
    34,180.29/47,163.14 = 22,831.58/x
  3. Step 3: Cross multiply
    34,180.29x = 47,163.14 × 22,831.58
  4. Step 4: Simplify right side
    34,180.29x = 1,076,808,653.99
  5. Step 5: Solve for x
    x = 1,076,808,653.99/34,180.29
  6. Step 6: Final answer
    x = 31,503.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.