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Finding the Fourth Proportional to 27,100.24, 40,597.71 and 19,971.53

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Solution

The fourth proportional to 27,100.24, 40,597.71 and 19,971.53 is: 29,918.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.24 : 40,597.71 = 19,971.53 : x
  2. Step 2: Convert to fraction form
    27,100.24/40,597.71 = 19,971.53/x
  3. Step 3: Cross multiply
    27,100.24x = 40,597.71 × 19,971.53
  4. Step 4: Simplify right side
    27,100.24x = 810,798,257.56
  5. Step 5: Solve for x
    x = 810,798,257.56/27,100.24
  6. Step 6: Final answer
    x = 29,918.49

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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.