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Finding the Fourth Proportional to 69,774, 96,290.65 and 39,971.76

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Solution

The fourth proportional to 69,774, 96,290.65 and 39,971.76 is: 55,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,774 : 96,290.65 = 39,971.76 : x
  2. Step 2: Convert to fraction form
    69,774/96,290.65 = 39,971.76/x
  3. Step 3: Cross multiply
    69,774x = 96,290.65 × 39,971.76
  4. Step 4: Simplify right side
    69,774x = 3,848,906,752.04
  5. Step 5: Solve for x
    x = 3,848,906,752.04/69,774
  6. Step 6: Final answer
    x = 55,162.48

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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.