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Finding the Fourth Proportional to 70,649, 106,022.10 and 29,096

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Solution

The fourth proportional to 70,649, 106,022.10 and 29,096 is: 43,664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,649 : 106,022.10 = 29,096 : x
  2. Step 2: Convert to fraction form
    70,649/106,022.10 = 29,096/x
  3. Step 3: Cross multiply
    70,649x = 106,022.10 × 29,096
  4. Step 4: Simplify right side
    70,649x = 3,084,819,021.60
  5. Step 5: Solve for x
    x = 3,084,819,021.60/70,649
  6. Step 6: Final answer
    x = 43,664.02

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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.