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Finding the Fourth Proportional to 70,645.96, 105,899.82 and 33,735.88

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Solution

The fourth proportional to 70,645.96, 105,899.82 and 33,735.88 is: 50,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,645.96 : 105,899.82 = 33,735.88 : x
  2. Step 2: Convert to fraction form
    70,645.96/105,899.82 = 33,735.88/x
  3. Step 3: Cross multiply
    70,645.96x = 105,899.82 × 33,735.88
  4. Step 4: Simplify right side
    70,645.96x = 3,572,623,619.54
  5. Step 5: Solve for x
    x = 3,572,623,619.54/70,645.96
  6. Step 6: Final answer
    x = 50,570.81

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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.