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Finding the Fourth Proportional to 31,093.36, 42,914.34 and 18,345.78

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Solution

The fourth proportional to 31,093.36, 42,914.34 and 18,345.78 is: 25,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.36 : 42,914.34 = 18,345.78 : x
  2. Step 2: Convert to fraction form
    31,093.36/42,914.34 = 18,345.78/x
  3. Step 3: Cross multiply
    31,093.36x = 42,914.34 × 18,345.78
  4. Step 4: Simplify right side
    31,093.36x = 787,297,040.49
  5. Step 5: Solve for x
    x = 787,297,040.49/31,093.36
  6. Step 6: Final answer
    x = 25,320.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.