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Finding the Fourth Proportional to 38,083.57, 57,137.04 and 17,041.33

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Solution

The fourth proportional to 38,083.57, 57,137.04 and 17,041.33 is: 25,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,083.57 : 57,137.04 = 17,041.33 : x
  2. Step 2: Convert to fraction form
    38,083.57/57,137.04 = 17,041.33/x
  3. Step 3: Cross multiply
    38,083.57x = 57,137.04 × 17,041.33
  4. Step 4: Simplify right side
    38,083.57x = 973,690,782.97
  5. Step 5: Solve for x
    x = 973,690,782.97/38,083.57
  6. Step 6: Final answer
    x = 25,567.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.