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Finding the Fourth Proportional to 31,642.29, 43,667.24 and 17,495.64

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Solution

The fourth proportional to 31,642.29, 43,667.24 and 17,495.64 is: 24,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.29 : 43,667.24 = 17,495.64 : x
  2. Step 2: Convert to fraction form
    31,642.29/43,667.24 = 17,495.64/x
  3. Step 3: Cross multiply
    31,642.29x = 43,667.24 × 17,495.64
  4. Step 4: Simplify right side
    31,642.29x = 763,986,223.36
  5. Step 5: Solve for x
    x = 763,986,223.36/31,642.29
  6. Step 6: Final answer
    x = 24,144.47

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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.