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Finding the Fourth Proportional to 30,992.63, 46,488.94 and 10,216.13

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Solution

The fourth proportional to 30,992.63, 46,488.94 and 10,216.13 is: 15,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.63 : 46,488.94 = 10,216.13 : x
  2. Step 2: Convert to fraction form
    30,992.63/46,488.94 = 10,216.13/x
  3. Step 3: Cross multiply
    30,992.63x = 46,488.94 × 10,216.13
  4. Step 4: Simplify right side
    30,992.63x = 474,936,796.62
  5. Step 5: Solve for x
    x = 474,936,796.62/30,992.63
  6. Step 6: Final answer
    x = 15,324.19

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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.