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Finding the Fourth Proportional to 30,734.40, 42,419.79 and 19,396.29

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Solution

The fourth proportional to 30,734.40, 42,419.79 and 19,396.29 is: 26,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.40 : 42,419.79 = 19,396.29 : x
  2. Step 2: Convert to fraction form
    30,734.40/42,419.79 = 19,396.29/x
  3. Step 3: Cross multiply
    30,734.40x = 42,419.79 × 19,396.29
  4. Step 4: Simplify right side
    30,734.40x = 822,786,389.50
  5. Step 5: Solve for x
    x = 822,786,389.50/30,734.40
  6. Step 6: Final answer
    x = 26,770.86

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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.