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Finding the Fourth Proportional to 114,324.89, 171,512.40 and 38,420.71

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Solution

The fourth proportional to 114,324.89, 171,512.40 and 38,420.71 is: 57,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,324.89 : 171,512.40 = 38,420.71 : x
  2. Step 2: Convert to fraction form
    114,324.89/171,512.40 = 38,420.71/x
  3. Step 3: Cross multiply
    114,324.89x = 171,512.40 × 38,420.71
  4. Step 4: Simplify right side
    114,324.89x = 6,589,628,181.80
  5. Step 5: Solve for x
    x = 6,589,628,181.80/114,324.89
  6. Step 6: Final answer
    x = 57,639.49

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