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Finding the Fourth Proportional to 54,758.98, 82,147.35 and 21,460.99

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Solution

The fourth proportional to 54,758.98, 82,147.35 and 21,460.99 is: 32,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.98 : 82,147.35 = 21,460.99 : x
  2. Step 2: Convert to fraction form
    54,758.98/82,147.35 = 21,460.99/x
  3. Step 3: Cross multiply
    54,758.98x = 82,147.35 × 21,460.99
  4. Step 4: Simplify right side
    54,758.98x = 1,762,963,456.88
  5. Step 5: Solve for x
    x = 1,762,963,456.88/54,758.98
  6. Step 6: Final answer
    x = 32,194.97

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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.