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Finding the Fourth Proportional to 84,994.56, 117,296.64 and 47,268

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Solution

The fourth proportional to 84,994.56, 117,296.64 and 47,268 is: 65,232.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,994.56 : 117,296.64 = 47,268 : x
  2. Step 2: Convert to fraction form
    84,994.56/117,296.64 = 47,268/x
  3. Step 3: Cross multiply
    84,994.56x = 117,296.64 × 47,268
  4. Step 4: Simplify right side
    84,994.56x = 5,544,377,579.52
  5. Step 5: Solve for x
    x = 5,544,377,579.52/84,994.56
  6. Step 6: Final answer
    x = 65,232.15

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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.