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Finding the Fourth Proportional to 30,616.24, 42,245.38 and 18,039.28

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Solution

The fourth proportional to 30,616.24, 42,245.38 and 18,039.28 is: 24,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,616.24 : 42,245.38 = 18,039.28 : x
  2. Step 2: Convert to fraction form
    30,616.24/42,245.38 = 18,039.28/x
  3. Step 3: Cross multiply
    30,616.24x = 42,245.38 × 18,039.28
  4. Step 4: Simplify right side
    30,616.24x = 762,076,238.53
  5. Step 5: Solve for x
    x = 762,076,238.53/30,616.24
  6. Step 6: Final answer
    x = 24,891.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.