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Finding the Fourth Proportional to 70,024.72, 96,635.42 and 38,194.75

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Solution

The fourth proportional to 70,024.72, 96,635.42 and 38,194.75 is: 52,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,024.72 : 96,635.42 = 38,194.75 : x
  2. Step 2: Convert to fraction form
    70,024.72/96,635.42 = 38,194.75/x
  3. Step 3: Cross multiply
    70,024.72x = 96,635.42 × 38,194.75
  4. Step 4: Simplify right side
    70,024.72x = 3,690,965,708.05
  5. Step 5: Solve for x
    x = 3,690,965,708.05/70,024.72
  6. Step 6: Final answer
    x = 52,709.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.