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Finding the Fourth Proportional to 30,884.84, 42,620.06 and 18,137.78

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Solution

The fourth proportional to 30,884.84, 42,620.06 and 18,137.78 is: 25,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884.84 : 42,620.06 = 18,137.78 : x
  2. Step 2: Convert to fraction form
    30,884.84/42,620.06 = 18,137.78/x
  3. Step 3: Cross multiply
    30,884.84x = 42,620.06 × 18,137.78
  4. Step 4: Simplify right side
    30,884.84x = 773,033,271.87
  5. Step 5: Solve for x
    x = 773,033,271.87/30,884.84
  6. Step 6: Final answer
    x = 25,029.54

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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.