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Finding the Fourth Proportional to 33,647.96, 46,438.26 and 19,501.40

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Solution

The fourth proportional to 33,647.96, 46,438.26 and 19,501.40 is: 26,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.96 : 46,438.26 = 19,501.40 : x
  2. Step 2: Convert to fraction form
    33,647.96/46,438.26 = 19,501.40/x
  3. Step 3: Cross multiply
    33,647.96x = 46,438.26 × 19,501.40
  4. Step 4: Simplify right side
    33,647.96x = 905,611,083.56
  5. Step 5: Solve for x
    x = 905,611,083.56/33,647.96
  6. Step 6: Final answer
    x = 26,914.29

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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.