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Finding the Fourth Proportional to 30,839.41, 42,578.49 and 18,909.33

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Solution

The fourth proportional to 30,839.41, 42,578.49 and 18,909.33 is: 26,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.41 : 42,578.49 = 18,909.33 : x
  2. Step 2: Convert to fraction form
    30,839.41/42,578.49 = 18,909.33/x
  3. Step 3: Cross multiply
    30,839.41x = 42,578.49 × 18,909.33
  4. Step 4: Simplify right side
    30,839.41x = 805,130,718.31
  5. Step 5: Solve for x
    x = 805,130,718.31/30,839.41
  6. Step 6: Final answer
    x = 26,107.20

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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.