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Finding the Fourth Proportional to 30,665.82, 46,086.21 and 15,094.38

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Solution

The fourth proportional to 30,665.82, 46,086.21 and 15,094.38 is: 22,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665.82 : 46,086.21 = 15,094.38 : x
  2. Step 2: Convert to fraction form
    30,665.82/46,086.21 = 15,094.38/x
  3. Step 3: Cross multiply
    30,665.82x = 46,086.21 × 15,094.38
  4. Step 4: Simplify right side
    30,665.82x = 695,642,766.50
  5. Step 5: Solve for x
    x = 695,642,766.50/30,665.82
  6. Step 6: Final answer
    x = 22,684.63

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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.