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Finding the Fourth Proportional to 29,019, 40,050 and 17,083.44

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Solution

The fourth proportional to 29,019, 40,050 and 17,083.44 is: 23,577.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,019 : 40,050 = 17,083.44 : x
  2. Step 2: Convert to fraction form
    29,019/40,050 = 17,083.44/x
  3. Step 3: Cross multiply
    29,019x = 40,050 × 17,083.44
  4. Step 4: Simplify right side
    29,019x = 684,191,772
  5. Step 5: Solve for x
    x = 684,191,772/29,019
  6. Step 6: Final answer
    x = 23,577.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.