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Finding the Fourth Proportional to 31,783.84, 43,879.32 and 28,418.56

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Solution

The fourth proportional to 31,783.84, 43,879.32 and 28,418.56 is: 39,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,783.84 : 43,879.32 = 28,418.56 : x
  2. Step 2: Convert to fraction form
    31,783.84/43,879.32 = 28,418.56/x
  3. Step 3: Cross multiply
    31,783.84x = 43,879.32 × 28,418.56
  4. Step 4: Simplify right side
    31,783.84x = 1,246,987,088.18
  5. Step 5: Solve for x
    x = 1,246,987,088.18/31,783.84
  6. Step 6: Final answer
    x = 39,233.37

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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.