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Finding the Fourth Proportional to 70,488, 105,697 and 22,450.34

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Solution

The fourth proportional to 70,488, 105,697 and 22,450.34 is: 33,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,488 : 105,697 = 22,450.34 : x
  2. Step 2: Convert to fraction form
    70,488/105,697 = 22,450.34/x
  3. Step 3: Cross multiply
    70,488x = 105,697 × 22,450.34
  4. Step 4: Simplify right side
    70,488x = 2,372,933,586.98
  5. Step 5: Solve for x
    x = 2,372,933,586.98/70,488
  6. Step 6: Final answer
    x = 33,664.36

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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.