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Finding the Fourth Proportional to 31,784.91, 43,863.44 and 17,637.99

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Solution

The fourth proportional to 31,784.91, 43,863.44 and 17,637.99 is: 24,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.91 : 43,863.44 = 17,637.99 : x
  2. Step 2: Convert to fraction form
    31,784.91/43,863.44 = 17,637.99/x
  3. Step 3: Cross multiply
    31,784.91x = 43,863.44 × 17,637.99
  4. Step 4: Simplify right side
    31,784.91x = 773,662,827.90
  5. Step 5: Solve for x
    x = 773,662,827.90/31,784.91
  6. Step 6: Final answer
    x = 24,340.57

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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.