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Finding the Fourth Proportional to 70,906.26, 106,377.84 and 26,536.50

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Solution

The fourth proportional to 70,906.26, 106,377.84 and 26,536.50 is: 39,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.26 : 106,377.84 = 26,536.50 : x
  2. Step 2: Convert to fraction form
    70,906.26/106,377.84 = 26,536.50/x
  3. Step 3: Cross multiply
    70,906.26x = 106,377.84 × 26,536.50
  4. Step 4: Simplify right side
    70,906.26x = 2,822,895,551.16
  5. Step 5: Solve for x
    x = 2,822,895,551.16/70,906.26
  6. Step 6: Final answer
    x = 39,811.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.