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Finding the Fourth Proportional to 69,504.31, 104,256.87 and 19,584.82

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Solution

The fourth proportional to 69,504.31, 104,256.87 and 19,584.82 is: 29,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,504.31 : 104,256.87 = 19,584.82 : x
  2. Step 2: Convert to fraction form
    69,504.31/104,256.87 = 19,584.82/x
  3. Step 3: Cross multiply
    69,504.31x = 104,256.87 × 19,584.82
  4. Step 4: Simplify right side
    69,504.31x = 2,041,852,032.71
  5. Step 5: Solve for x
    x = 2,041,852,032.71/69,504.31
  6. Step 6: Final answer
    x = 29,377.34

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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.