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Finding the Fourth Proportional to 84,206.77, 116,205.33 and 46,481.01

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Solution

The fourth proportional to 84,206.77, 116,205.33 and 46,481.01 is: 64,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,206.77 : 116,205.33 = 46,481.01 : x
  2. Step 2: Convert to fraction form
    84,206.77/116,205.33 = 46,481.01/x
  3. Step 3: Cross multiply
    84,206.77x = 116,205.33 × 46,481.01
  4. Step 4: Simplify right side
    84,206.77x = 5,401,340,873.38
  5. Step 5: Solve for x
    x = 5,401,340,873.38/84,206.77
  6. Step 6: Final answer
    x = 64,143.78

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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.