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Finding the Fourth Proportional to 70,139.32, 96,788.34 and 39,932

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Solution

The fourth proportional to 70,139.32, 96,788.34 and 39,932 is: 55,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,139.32 : 96,788.34 = 39,932 : x
  2. Step 2: Convert to fraction form
    70,139.32/96,788.34 = 39,932/x
  3. Step 3: Cross multiply
    70,139.32x = 96,788.34 × 39,932
  4. Step 4: Simplify right side
    70,139.32x = 3,864,951,992.88
  5. Step 5: Solve for x
    x = 3,864,951,992.88/70,139.32
  6. Step 6: Final answer
    x = 55,103.93

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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.