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Finding the Fourth Proportional to 114,042.54, 171,047.61 and 39,161.46

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Solution

The fourth proportional to 114,042.54, 171,047.61 and 39,161.46 is: 58,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,042.54 : 171,047.61 = 39,161.46 : x
  2. Step 2: Convert to fraction form
    114,042.54/171,047.61 = 39,161.46/x
  3. Step 3: Cross multiply
    114,042.54x = 171,047.61 × 39,161.46
  4. Step 4: Simplify right side
    114,042.54x = 6,698,474,137.11
  5. Step 5: Solve for x
    x = 6,698,474,137.11/114,042.54
  6. Step 6: Final answer
    x = 58,736.63

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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.