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Finding the Fourth Proportional to 70,231.32, 96,919.24 and 38,400.48

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Solution

The fourth proportional to 70,231.32, 96,919.24 and 38,400.48 is: 52,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,231.32 : 96,919.24 = 38,400.48 : x
  2. Step 2: Convert to fraction form
    70,231.32/96,919.24 = 38,400.48/x
  3. Step 3: Cross multiply
    70,231.32x = 96,919.24 × 38,400.48
  4. Step 4: Simplify right side
    70,231.32x = 3,721,745,337.24
  5. Step 5: Solve for x
    x = 3,721,745,337.24/70,231.32
  6. Step 6: Final answer
    x = 52,992.67

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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.