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Finding the Fourth Proportional to 30,738.96, 42,419.29 and 17,310.18

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Solution

The fourth proportional to 30,738.96, 42,419.29 and 17,310.18 is: 23,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.96 : 42,419.29 = 17,310.18 : x
  2. Step 2: Convert to fraction form
    30,738.96/42,419.29 = 17,310.18/x
  3. Step 3: Cross multiply
    30,738.96x = 42,419.29 × 17,310.18
  4. Step 4: Simplify right side
    30,738.96x = 734,285,545.37
  5. Step 5: Solve for x
    x = 734,285,545.37/30,738.96
  6. Step 6: Final answer
    x = 23,887.78

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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.