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Finding the Fourth Proportional to 54,974.56, 82,461.63 and 19,906.01

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Solution

The fourth proportional to 54,974.56, 82,461.63 and 19,906.01 is: 29,858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,974.56 : 82,461.63 = 19,906.01 : x
  2. Step 2: Convert to fraction form
    54,974.56/82,461.63 = 19,906.01/x
  3. Step 3: Cross multiply
    54,974.56x = 82,461.63 × 19,906.01
  4. Step 4: Simplify right side
    54,974.56x = 1,641,482,031.40
  5. Step 5: Solve for x
    x = 1,641,482,031.40/54,974.56
  6. Step 6: Final answer
    x = 29,858.94

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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.