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Finding the Fourth Proportional to 114,542.76, 171,629.46 and 61,977

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Solution

The fourth proportional to 114,542.76, 171,629.46 and 61,977 is: 92,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,542.76 : 171,629.46 = 61,977 : x
  2. Step 2: Convert to fraction form
    114,542.76/171,629.46 = 61,977/x
  3. Step 3: Cross multiply
    114,542.76x = 171,629.46 × 61,977
  4. Step 4: Simplify right side
    114,542.76x = 10,637,079,042.42
  5. Step 5: Solve for x
    x = 10,637,079,042.42/114,542.76
  6. Step 6: Final answer
    x = 92,865.57

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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.