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Finding the Fourth Proportional to 31,940.42, 47,929.04 and 14,410.22

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Solution

The fourth proportional to 31,940.42, 47,929.04 and 14,410.22 is: 21,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940.42 : 47,929.04 = 14,410.22 : x
  2. Step 2: Convert to fraction form
    31,940.42/47,929.04 = 14,410.22/x
  3. Step 3: Cross multiply
    31,940.42x = 47,929.04 × 14,410.22
  4. Step 4: Simplify right side
    31,940.42x = 690,667,699.09
  5. Step 5: Solve for x
    x = 690,667,699.09/31,940.42
  6. Step 6: Final answer
    x = 21,623.63

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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.