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Finding the Fourth Proportional to 31,094.22, 46,604.79 and 14,419.17

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Solution

The fourth proportional to 31,094.22, 46,604.79 and 14,419.17 is: 21,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,094.22 : 46,604.79 = 14,419.17 : x
  2. Step 2: Convert to fraction form
    31,094.22/46,604.79 = 14,419.17/x
  3. Step 3: Cross multiply
    31,094.22x = 46,604.79 × 14,419.17
  4. Step 4: Simplify right side
    31,094.22x = 672,002,389.82
  5. Step 5: Solve for x
    x = 672,002,389.82/31,094.22
  6. Step 6: Final answer
    x = 21,611.81

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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.