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Finding the Fourth Proportional to 30,738.81, 42,419.13 and 17,310.22

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Solution

The fourth proportional to 30,738.81, 42,419.13 and 17,310.22 is: 23,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.81 : 42,419.13 = 17,310.22 : x
  2. Step 2: Convert to fraction form
    30,738.81/42,419.13 = 17,310.22/x
  3. Step 3: Cross multiply
    30,738.81x = 42,419.13 × 17,310.22
  4. Step 4: Simplify right side
    30,738.81x = 734,284,472.51
  5. Step 5: Solve for x
    x = 734,284,472.51/30,738.81
  6. Step 6: Final answer
    x = 23,887.86

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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.