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Finding the Fourth Proportional to 70,452, 97,224.48 and 42,163.20

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Solution

The fourth proportional to 70,452, 97,224.48 and 42,163.20 is: 58,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,452 : 97,224.48 = 42,163.20 : x
  2. Step 2: Convert to fraction form
    70,452/97,224.48 = 42,163.20/x
  3. Step 3: Cross multiply
    70,452x = 97,224.48 × 42,163.20
  4. Step 4: Simplify right side
    70,452x = 4,099,295,195.14
  5. Step 5: Solve for x
    x = 4,099,295,195.14/70,452
  6. Step 6: Final answer
    x = 58,185.65

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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.