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Finding the Fourth Proportional to 85,410.63, 117,857.73 and 49,593.65

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Solution

The fourth proportional to 85,410.63, 117,857.73 and 49,593.65 is: 68,434.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.63 : 117,857.73 = 49,593.65 : x
  2. Step 2: Convert to fraction form
    85,410.63/117,857.73 = 49,593.65/x
  3. Step 3: Cross multiply
    85,410.63x = 117,857.73 × 49,593.65
  4. Step 4: Simplify right side
    85,410.63x = 5,844,994,422.13
  5. Step 5: Solve for x
    x = 5,844,994,422.13/85,410.63
  6. Step 6: Final answer
    x = 68,434.04

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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.