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Finding the Fourth Proportional to 70,906.09, 97,850.13 and 39,074.30

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Solution

The fourth proportional to 70,906.09, 97,850.13 and 39,074.30 is: 53,922.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,906.09 : 97,850.13 = 39,074.30 : x
  2. Step 2: Convert to fraction form
    70,906.09/97,850.13 = 39,074.30/x
  3. Step 3: Cross multiply
    70,906.09x = 97,850.13 × 39,074.30
  4. Step 4: Simplify right side
    70,906.09x = 3,823,425,334.66
  5. Step 5: Solve for x
    x = 3,823,425,334.66/70,906.09
  6. Step 6: Final answer
    x = 53,922.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.