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Finding the Fourth Proportional to 75,794.94, 104,535.38 and 66,700.68

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Solution

The fourth proportional to 75,794.94, 104,535.38 and 66,700.68 is: 91,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,794.94 : 104,535.38 = 66,700.68 : x
  2. Step 2: Convert to fraction form
    75,794.94/104,535.38 = 66,700.68/x
  3. Step 3: Cross multiply
    75,794.94x = 104,535.38 × 66,700.68
  4. Step 4: Simplify right side
    75,794.94x = 6,972,580,930.06
  5. Step 5: Solve for x
    x = 6,972,580,930.06/75,794.94
  6. Step 6: Final answer
    x = 91,992.70

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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.