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Finding the Fourth Proportional to 54,764.82, 82,143.18 and 15,321.06

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Solution

The fourth proportional to 54,764.82, 82,143.18 and 15,321.06 is: 22,980.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,764.82 : 82,143.18 = 15,321.06 : x
  2. Step 2: Convert to fraction form
    54,764.82/82,143.18 = 15,321.06/x
  3. Step 3: Cross multiply
    54,764.82x = 82,143.18 × 15,321.06
  4. Step 4: Simplify right side
    54,764.82x = 1,258,520,589.37
  5. Step 5: Solve for x
    x = 1,258,520,589.37/54,764.82
  6. Step 6: Final answer
    x = 22,980.46

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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.