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Finding the Fourth Proportional to 30,694.13, 46,041 and 7,897.95

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Solution

The fourth proportional to 30,694.13, 46,041 and 7,897.95 is: 11,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.13 : 46,041 = 7,897.95 : x
  2. Step 2: Convert to fraction form
    30,694.13/46,041 = 7,897.95/x
  3. Step 3: Cross multiply
    30,694.13x = 46,041 × 7,897.95
  4. Step 4: Simplify right side
    30,694.13x = 363,629,515.95
  5. Step 5: Solve for x
    x = 363,629,515.95/30,694.13
  6. Step 6: Final answer
    x = 11,846.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.