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Finding the Fourth Proportional to 29,343.03, 43,990.83 and 11,796

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Solution

The fourth proportional to 29,343.03, 43,990.83 and 11,796 is: 17,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,343.03 : 43,990.83 = 11,796 : x
  2. Step 2: Convert to fraction form
    29,343.03/43,990.83 = 11,796/x
  3. Step 3: Cross multiply
    29,343.03x = 43,990.83 × 11,796
  4. Step 4: Simplify right side
    29,343.03x = 518,915,830.68
  5. Step 5: Solve for x
    x = 518,915,830.68/29,343.03
  6. Step 6: Final answer
    x = 17,684.47

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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.