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Finding the Fourth Proportional to 84,908.36, 117,171.22 and 47,181.64

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Solution

The fourth proportional to 84,908.36, 117,171.22 and 47,181.64 is: 65,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,908.36 : 117,171.22 = 47,181.64 : x
  2. Step 2: Convert to fraction form
    84,908.36/117,171.22 = 47,181.64/x
  3. Step 3: Cross multiply
    84,908.36x = 117,171.22 × 47,181.64
  4. Step 4: Simplify right side
    84,908.36x = 5,528,330,320.40
  5. Step 5: Solve for x
    x = 5,528,330,320.40/84,908.36
  6. Step 6: Final answer
    x = 65,109.38

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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.