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Finding the Fourth Proportional to 39,842.43, 54,977.99 and 22,842

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Solution

The fourth proportional to 39,842.43, 54,977.99 and 22,842 is: 31,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842.43 : 54,977.99 = 22,842 : x
  2. Step 2: Convert to fraction form
    39,842.43/54,977.99 = 22,842/x
  3. Step 3: Cross multiply
    39,842.43x = 54,977.99 × 22,842
  4. Step 4: Simplify right side
    39,842.43x = 1,255,807,261.86
  5. Step 5: Solve for x
    x = 1,255,807,261.86/39,842.43
  6. Step 6: Final answer
    x = 31,519.34

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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.