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Finding the Fourth Proportional to 31,109.60, 42,912.16 and 19,912.16

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Solution

The fourth proportional to 31,109.60, 42,912.16 and 19,912.16 is: 27,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109.60 : 42,912.16 = 19,912.16 : x
  2. Step 2: Convert to fraction form
    31,109.60/42,912.16 = 19,912.16/x
  3. Step 3: Cross multiply
    31,109.60x = 42,912.16 × 19,912.16
  4. Step 4: Simplify right side
    31,109.60x = 854,473,795.87
  5. Step 5: Solve for x
    x = 854,473,795.87/31,109.60
  6. Step 6: Final answer
    x = 27,466.56

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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.