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Finding the Fourth Proportional to 70,467.76, 97,231.82 and 41,782.12

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Solution

The fourth proportional to 70,467.76, 97,231.82 and 41,782.12 is: 57,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,467.76 : 97,231.82 = 41,782.12 : x
  2. Step 2: Convert to fraction form
    70,467.76/97,231.82 = 41,782.12/x
  3. Step 3: Cross multiply
    70,467.76x = 97,231.82 × 41,782.12
  4. Step 4: Simplify right side
    70,467.76x = 4,062,551,571.06
  5. Step 5: Solve for x
    x = 4,062,551,571.06/70,467.76
  6. Step 6: Final answer
    x = 57,651.21

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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.