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Finding the Fourth Proportional to 69,493.17, 104,159.15 and 31,974.48

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Solution

The fourth proportional to 69,493.17, 104,159.15 and 31,974.48 is: 47,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,493.17 : 104,159.15 = 31,974.48 : x
  2. Step 2: Convert to fraction form
    69,493.17/104,159.15 = 31,974.48/x
  3. Step 3: Cross multiply
    69,493.17x = 104,159.15 × 31,974.48
  4. Step 4: Simplify right side
    69,493.17x = 3,330,434,618.52
  5. Step 5: Solve for x
    x = 3,330,434,618.52/69,493.17
  6. Step 6: Final answer
    x = 47,924.63

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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.