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Finding the Fourth Proportional to 30,853.77, 42,578.13 and 17,424.37

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Solution

The fourth proportional to 30,853.77, 42,578.13 and 17,424.37 is: 24,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,853.77 : 42,578.13 = 17,424.37 : x
  2. Step 2: Convert to fraction form
    30,853.77/42,578.13 = 17,424.37/x
  3. Step 3: Cross multiply
    30,853.77x = 42,578.13 × 17,424.37
  4. Step 4: Simplify right side
    30,853.77x = 741,897,091.03
  5. Step 5: Solve for x
    x = 741,897,091.03/30,853.77
  6. Step 6: Final answer
    x = 24,045.59

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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.