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Finding the Fourth Proportional to 70,858.80, 106,224.96 and 26,451.36

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Solution

The fourth proportional to 70,858.80, 106,224.96 and 26,451.36 is: 39,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,858.80 : 106,224.96 = 26,451.36 : x
  2. Step 2: Convert to fraction form
    70,858.80/106,224.96 = 26,451.36/x
  3. Step 3: Cross multiply
    70,858.80x = 106,224.96 × 26,451.36
  4. Step 4: Simplify right side
    70,858.80x = 2,809,794,657.95
  5. Step 5: Solve for x
    x = 2,809,794,657.95/70,858.80
  6. Step 6: Final answer
    x = 39,653.43

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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.