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Finding the Fourth Proportional to 31,642.62, 43,667.32 and 17,495.46

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Solution

The fourth proportional to 31,642.62, 43,667.32 and 17,495.46 is: 24,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.62 : 43,667.32 = 17,495.46 : x
  2. Step 2: Convert to fraction form
    31,642.62/43,667.32 = 17,495.46/x
  3. Step 3: Cross multiply
    31,642.62x = 43,667.32 × 17,495.46
  4. Step 4: Simplify right side
    31,642.62x = 763,979,850.37
  5. Step 5: Solve for x
    x = 763,979,850.37/31,642.62
  6. Step 6: Final answer
    x = 24,144.01

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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.