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Finding the Fourth Proportional to 34,504.38, 47,616.51 and 19,396.16

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Solution

The fourth proportional to 34,504.38, 47,616.51 and 19,396.16 is: 26,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,504.38 : 47,616.51 = 19,396.16 : x
  2. Step 2: Convert to fraction form
    34,504.38/47,616.51 = 19,396.16/x
  3. Step 3: Cross multiply
    34,504.38x = 47,616.51 × 19,396.16
  4. Step 4: Simplify right side
    34,504.38x = 923,577,208.52
  5. Step 5: Solve for x
    x = 923,577,208.52/34,504.38
  6. Step 6: Final answer
    x = 26,766.96

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Why These Related Problems?

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