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Finding the Fourth Proportional to 114,581.44, 171,880.44 and 47,954.53

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Solution

The fourth proportional to 114,581.44, 171,880.44 and 47,954.53 is: 71,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,581.44 : 171,880.44 = 47,954.53 : x
  2. Step 2: Convert to fraction form
    114,581.44/171,880.44 = 47,954.53/x
  3. Step 3: Cross multiply
    114,581.44x = 171,880.44 × 47,954.53
  4. Step 4: Simplify right side
    114,581.44x = 8,242,445,716.39
  5. Step 5: Solve for x
    x = 8,242,445,716.39/114,581.44
  6. Step 6: Final answer
    x = 71,935.26

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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.