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Finding the Fourth Proportional to 30,849.69, 42,570.15 and 17,422.28

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Solution

The fourth proportional to 30,849.69, 42,570.15 and 17,422.28 is: 24,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.69 : 42,570.15 = 17,422.28 : x
  2. Step 2: Convert to fraction form
    30,849.69/42,570.15 = 17,422.28/x
  3. Step 3: Cross multiply
    30,849.69x = 42,570.15 × 17,422.28
  4. Step 4: Simplify right side
    30,849.69x = 741,668,860.09
  5. Step 5: Solve for x
    x = 741,668,860.09/30,849.69
  6. Step 6: Final answer
    x = 24,041.37

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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.