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Finding the Fourth Proportional to 69,716.73, 96,206.52 and 37,884.93

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Solution

The fourth proportional to 69,716.73, 96,206.52 and 37,884.93 is: 52,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,716.73 : 96,206.52 = 37,884.93 : x
  2. Step 2: Convert to fraction form
    69,716.73/96,206.52 = 37,884.93/x
  3. Step 3: Cross multiply
    69,716.73x = 96,206.52 × 37,884.93
  4. Step 4: Simplify right side
    69,716.73x = 3,644,777,275.74
  5. Step 5: Solve for x
    x = 3,644,777,275.74/69,716.73
  6. Step 6: Final answer
    x = 52,279.81

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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.