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Finding the Fourth Proportional to 29,738.61, 41,041.17 and 19,649.34

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Solution

The fourth proportional to 29,738.61, 41,041.17 and 19,649.34 is: 27,117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,738.61 : 41,041.17 = 19,649.34 : x
  2. Step 2: Convert to fraction form
    29,738.61/41,041.17 = 19,649.34/x
  3. Step 3: Cross multiply
    29,738.61x = 41,041.17 × 19,649.34
  4. Step 4: Simplify right side
    29,738.61x = 806,431,903.33
  5. Step 5: Solve for x
    x = 806,431,903.33/29,738.61
  6. Step 6: Final answer
    x = 27,117.34

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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.