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Finding the Fourth Proportional to 70,662.90, 105,982.20 and 26,266.80

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Solution

The fourth proportional to 70,662.90, 105,982.20 and 26,266.80 is: 39,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,662.90 : 105,982.20 = 26,266.80 : x
  2. Step 2: Convert to fraction form
    70,662.90/105,982.20 = 26,266.80/x
  3. Step 3: Cross multiply
    70,662.90x = 105,982.20 × 26,266.80
  4. Step 4: Simplify right side
    70,662.90x = 2,783,813,250.96
  5. Step 5: Solve for x
    x = 2,783,813,250.96/70,662.90
  6. Step 6: Final answer
    x = 39,395.68

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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.