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Finding the Fourth Proportional to 30,997.35, 46,496.23 and 9,940.59

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Solution

The fourth proportional to 30,997.35, 46,496.23 and 9,940.59 is: 14,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.35 : 46,496.23 = 9,940.59 : x
  2. Step 2: Convert to fraction form
    30,997.35/46,496.23 = 9,940.59/x
  3. Step 3: Cross multiply
    30,997.35x = 46,496.23 × 9,940.59
  4. Step 4: Simplify right side
    30,997.35x = 462,199,934.12
  5. Step 5: Solve for x
    x = 462,199,934.12/30,997.35
  6. Step 6: Final answer
    x = 14,910.95

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