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Finding the Fourth Proportional to 30,994.77, 46,511.96 and 11,271.45

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Solution

The fourth proportional to 30,994.77, 46,511.96 and 11,271.45 is: 16,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.77 : 46,511.96 = 11,271.45 : x
  2. Step 2: Convert to fraction form
    30,994.77/46,511.96 = 11,271.45/x
  3. Step 3: Cross multiply
    30,994.77x = 46,511.96 × 11,271.45
  4. Step 4: Simplify right side
    30,994.77x = 524,257,175.18
  5. Step 5: Solve for x
    x = 524,257,175.18/30,994.77
  6. Step 6: Final answer
    x = 16,914.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.