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Finding the Fourth Proportional to 29,219.38, 40,323.09 and 15,971.38

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Solution

The fourth proportional to 29,219.38, 40,323.09 and 15,971.38 is: 22,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219.38 : 40,323.09 = 15,971.38 : x
  2. Step 2: Convert to fraction form
    29,219.38/40,323.09 = 15,971.38/x
  3. Step 3: Cross multiply
    29,219.38x = 40,323.09 × 15,971.38
  4. Step 4: Simplify right side
    29,219.38x = 644,015,393.16
  5. Step 5: Solve for x
    x = 644,015,393.16/29,219.38
  6. Step 6: Final answer
    x = 22,040.69

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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.