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Finding the Fourth Proportional to 69,648.25, 104,513.89 and 25,278.47

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Solution

The fourth proportional to 69,648.25, 104,513.89 and 25,278.47 is: 37,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,648.25 : 104,513.89 = 25,278.47 : x
  2. Step 2: Convert to fraction form
    69,648.25/104,513.89 = 25,278.47/x
  3. Step 3: Cross multiply
    69,648.25x = 104,513.89 × 25,278.47
  4. Step 4: Simplify right side
    69,648.25x = 2,641,951,232.95
  5. Step 5: Solve for x
    x = 2,641,951,232.95/69,648.25
  6. Step 6: Final answer
    x = 37,932.77

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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.