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Finding the Fourth Proportional to 70,282.56, 96,990.24 and 38,452

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Solution

The fourth proportional to 70,282.56, 96,990.24 and 38,452 is: 53,063.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.56 : 96,990.24 = 38,452 : x
  2. Step 2: Convert to fraction form
    70,282.56/96,990.24 = 38,452/x
  3. Step 3: Cross multiply
    70,282.56x = 96,990.24 × 38,452
  4. Step 4: Simplify right side
    70,282.56x = 3,729,468,708.48
  5. Step 5: Solve for x
    x = 3,729,468,708.48/70,282.56
  6. Step 6: Final answer
    x = 53,063.93

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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.