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Finding the Fourth Proportional to 27,478.49, 37,902.27 and 21,804.24

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Solution

The fourth proportional to 27,478.49, 37,902.27 and 21,804.24 is: 30,075.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.49 : 37,902.27 = 21,804.24 : x
  2. Step 2: Convert to fraction form
    27,478.49/37,902.27 = 21,804.24/x
  3. Step 3: Cross multiply
    27,478.49x = 37,902.27 × 21,804.24
  4. Step 4: Simplify right side
    27,478.49x = 826,430,191.62
  5. Step 5: Solve for x
    x = 826,430,191.62/27,478.49
  6. Step 6: Final answer
    x = 30,075.54

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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.