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Finding the Fourth Proportional to 31,396.48, 43,309.12 and 19,600

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Solution

The fourth proportional to 31,396.48, 43,309.12 and 19,600 is: 27,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.48 : 43,309.12 = 19,600 : x
  2. Step 2: Convert to fraction form
    31,396.48/43,309.12 = 19,600/x
  3. Step 3: Cross multiply
    31,396.48x = 43,309.12 × 19,600
  4. Step 4: Simplify right side
    31,396.48x = 848,858,752
  5. Step 5: Solve for x
    x = 848,858,752/31,396.48
  6. Step 6: Final answer
    x = 27,036.75

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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.