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Finding the Fourth Proportional to 70,381.44, 97,122.24 and 38,544

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Solution

The fourth proportional to 70,381.44, 97,122.24 and 38,544 is: 53,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381.44 : 97,122.24 = 38,544 : x
  2. Step 2: Convert to fraction form
    70,381.44/97,122.24 = 38,544/x
  3. Step 3: Cross multiply
    70,381.44x = 97,122.24 × 38,544
  4. Step 4: Simplify right side
    70,381.44x = 3,743,479,618.56
  5. Step 5: Solve for x
    x = 3,743,479,618.56/70,381.44
  6. Step 6: Final answer
    x = 53,188.45

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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.