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Finding the Fourth Proportional to 77,825, 116,716.24 and 27,895.79

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Solution

The fourth proportional to 77,825, 116,716.24 and 27,895.79 is: 41,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,825 : 116,716.24 = 27,895.79 : x
  2. Step 2: Convert to fraction form
    77,825/116,716.24 = 27,895.79/x
  3. Step 3: Cross multiply
    77,825x = 116,716.24 × 27,895.79
  4. Step 4: Simplify right side
    77,825x = 3,255,891,720.63
  5. Step 5: Solve for x
    x = 3,255,891,720.63/77,825
  6. Step 6: Final answer
    x = 41,836.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.