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Finding the Fourth Proportional to 30,614.10, 45,938.67 and 11,891.71

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Solution

The fourth proportional to 30,614.10, 45,938.67 and 11,891.71 is: 17,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.10 : 45,938.67 = 11,891.71 : x
  2. Step 2: Convert to fraction form
    30,614.10/45,938.67 = 11,891.71/x
  3. Step 3: Cross multiply
    30,614.10x = 45,938.67 × 11,891.71
  4. Step 4: Simplify right side
    30,614.10x = 546,289,341.43
  5. Step 5: Solve for x
    x = 546,289,341.43/30,614.10
  6. Step 6: Final answer
    x = 17,844.37

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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.