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Finding the Fourth Proportional to 54,076.56, 81,119.10 and 19,024.08

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Solution

The fourth proportional to 54,076.56, 81,119.10 and 19,024.08 is: 28,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,076.56 : 81,119.10 = 19,024.08 : x
  2. Step 2: Convert to fraction form
    54,076.56/81,119.10 = 19,024.08/x
  3. Step 3: Cross multiply
    54,076.56x = 81,119.10 × 19,024.08
  4. Step 4: Simplify right side
    54,076.56x = 1,543,216,247.93
  5. Step 5: Solve for x
    x = 1,543,216,247.93/54,076.56
  6. Step 6: Final answer
    x = 28,537.62

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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.