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Finding the Fourth Proportional to 31,496.50, 43,465.17 and 17,349.31

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Solution

The fourth proportional to 31,496.50, 43,465.17 and 17,349.31 is: 23,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,496.50 : 43,465.17 = 17,349.31 : x
  2. Step 2: Convert to fraction form
    31,496.50/43,465.17 = 17,349.31/x
  3. Step 3: Cross multiply
    31,496.50x = 43,465.17 × 17,349.31
  4. Step 4: Simplify right side
    31,496.50x = 754,090,708.53
  5. Step 5: Solve for x
    x = 754,090,708.53/31,496.50
  6. Step 6: Final answer
    x = 23,942.05

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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.