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Finding the Fourth Proportional to 78,232.94, 117,356.31 and 22,073.54

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Solution

The fourth proportional to 78,232.94, 117,356.31 and 22,073.54 is: 33,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232.94 : 117,356.31 = 22,073.54 : x
  2. Step 2: Convert to fraction form
    78,232.94/117,356.31 = 22,073.54/x
  3. Step 3: Cross multiply
    78,232.94x = 117,356.31 × 22,073.54
  4. Step 4: Simplify right side
    78,232.94x = 2,590,469,203.04
  5. Step 5: Solve for x
    x = 2,590,469,203.04/78,232.94
  6. Step 6: Final answer
    x = 33,112.26

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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.