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Finding the Fourth Proportional to 69,656.44, 104,497.80 and 31,708.66

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Solution

The fourth proportional to 69,656.44, 104,497.80 and 31,708.66 is: 47,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,656.44 : 104,497.80 = 31,708.66 : x
  2. Step 2: Convert to fraction form
    69,656.44/104,497.80 = 31,708.66/x
  3. Step 3: Cross multiply
    69,656.44x = 104,497.80 × 31,708.66
  4. Step 4: Simplify right side
    69,656.44x = 3,313,485,210.95
  5. Step 5: Solve for x
    x = 3,313,485,210.95/69,656.44
  6. Step 6: Final answer
    x = 47,568.97

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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.