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Finding the Fourth Proportional to 30,570.97, 42,170.02 and 19,222.48

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Solution

The fourth proportional to 30,570.97, 42,170.02 and 19,222.48 is: 26,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,570.97 : 42,170.02 = 19,222.48 : x
  2. Step 2: Convert to fraction form
    30,570.97/42,170.02 = 19,222.48/x
  3. Step 3: Cross multiply
    30,570.97x = 42,170.02 × 19,222.48
  4. Step 4: Simplify right side
    30,570.97x = 810,612,059.09
  5. Step 5: Solve for x
    x = 810,612,059.09/30,570.97
  6. Step 6: Final answer
    x = 26,515.75

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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.