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Finding the Fourth Proportional to 54,782.55, 82,184.48 and 21,046.11

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Solution

The fourth proportional to 54,782.55, 82,184.48 and 21,046.11 is: 31,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.55 : 82,184.48 = 21,046.11 : x
  2. Step 2: Convert to fraction form
    54,782.55/82,184.48 = 21,046.11/x
  3. Step 3: Cross multiply
    54,782.55x = 82,184.48 × 21,046.11
  4. Step 4: Simplify right side
    54,782.55x = 1,729,663,606.37
  5. Step 5: Solve for x
    x = 1,729,663,606.37/54,782.55
  6. Step 6: Final answer
    x = 31,573.26

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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.