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Finding the Fourth Proportional to 34,616.35, 47,770.75 and 19,509.25

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Solution

The fourth proportional to 34,616.35, 47,770.75 and 19,509.25 is: 26,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.35 : 47,770.75 = 19,509.25 : x
  2. Step 2: Convert to fraction form
    34,616.35/47,770.75 = 19,509.25/x
  3. Step 3: Cross multiply
    34,616.35x = 47,770.75 × 19,509.25
  4. Step 4: Simplify right side
    34,616.35x = 931,971,504.44
  5. Step 5: Solve for x
    x = 931,971,504.44/34,616.35
  6. Step 6: Final answer
    x = 26,922.87

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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.