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Finding the Fourth Proportional to 27,754.53, 41,657.31 and 19,968.81

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Solution

The fourth proportional to 27,754.53, 41,657.31 and 19,968.81 is: 29,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.53 : 41,657.31 = 19,968.81 : x
  2. Step 2: Convert to fraction form
    27,754.53/41,657.31 = 19,968.81/x
  3. Step 3: Cross multiply
    27,754.53x = 41,657.31 × 19,968.81
  4. Step 4: Simplify right side
    27,754.53x = 831,846,908.50
  5. Step 5: Solve for x
    x = 831,846,908.50/27,754.53
  6. Step 6: Final answer
    x = 29,971.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.