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Finding the Fourth Proportional to 30,114.14, 41,490.60 and 19,887

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Solution

The fourth proportional to 30,114.14, 41,490.60 and 19,887 is: 27,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.14 : 41,490.60 = 19,887 : x
  2. Step 2: Convert to fraction form
    30,114.14/41,490.60 = 19,887/x
  3. Step 3: Cross multiply
    30,114.14x = 41,490.60 × 19,887
  4. Step 4: Simplify right side
    30,114.14x = 825,123,562.20
  5. Step 5: Solve for x
    x = 825,123,562.20/30,114.14
  6. Step 6: Final answer
    x = 27,399.88

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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.