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Finding the Fourth Proportional to 70,226.24, 96,912.64 and 38,396.48

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Solution

The fourth proportional to 70,226.24, 96,912.64 and 38,396.48 is: 52,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,226.24 : 96,912.64 = 38,396.48 : x
  2. Step 2: Convert to fraction form
    70,226.24/96,912.64 = 38,396.48/x
  3. Step 3: Cross multiply
    70,226.24x = 96,912.64 × 38,396.48
  4. Step 4: Simplify right side
    70,226.24x = 3,721,104,243.51
  5. Step 5: Solve for x
    x = 3,721,104,243.51/70,226.24
  6. Step 6: Final answer
    x = 52,987.38

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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.