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Finding the Fourth Proportional to 27,403.80, 41,019.30 and 19,627.80

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Solution

The fourth proportional to 27,403.80, 41,019.30 and 19,627.80 is: 29,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.80 : 41,019.30 = 19,627.80 : x
  2. Step 2: Convert to fraction form
    27,403.80/41,019.30 = 19,627.80/x
  3. Step 3: Cross multiply
    27,403.80x = 41,019.30 × 19,627.80
  4. Step 4: Simplify right side
    27,403.80x = 805,118,616.54
  5. Step 5: Solve for x
    x = 805,118,616.54/27,403.80
  6. Step 6: Final answer
    x = 29,379.82

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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.