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Finding the Fourth Proportional to 78,634.88, 117,896.70 and 25,310.34

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Solution

The fourth proportional to 78,634.88, 117,896.70 and 25,310.34 is: 37,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,634.88 : 117,896.70 = 25,310.34 : x
  2. Step 2: Convert to fraction form
    78,634.88/117,896.70 = 25,310.34/x
  3. Step 3: Cross multiply
    78,634.88x = 117,896.70 × 25,310.34
  4. Step 4: Simplify right side
    78,634.88x = 2,984,005,561.88
  5. Step 5: Solve for x
    x = 2,984,005,561.88/78,634.88
  6. Step 6: Final answer
    x = 37,947.61

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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.