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Finding the Fourth Proportional to 84,694.20, 116,824.32 and 54,427.44

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Solution

The fourth proportional to 84,694.20, 116,824.32 and 54,427.44 is: 75,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,694.20 : 116,824.32 = 54,427.44 : x
  2. Step 2: Convert to fraction form
    84,694.20/116,824.32 = 54,427.44/x
  3. Step 3: Cross multiply
    84,694.20x = 116,824.32 × 54,427.44
  4. Step 4: Simplify right side
    84,694.20x = 6,358,448,667.34
  5. Step 5: Solve for x
    x = 6,358,448,667.34/84,694.20
  6. Step 6: Final answer
    x = 75,075.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.