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Finding the Fourth Proportional to 54,855.81, 82,266.84 and 28,546.20

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Solution

The fourth proportional to 54,855.81, 82,266.84 and 28,546.20 is: 42,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.81 : 82,266.84 = 28,546.20 : x
  2. Step 2: Convert to fraction form
    54,855.81/82,266.84 = 28,546.20/x
  3. Step 3: Cross multiply
    54,855.81x = 82,266.84 × 28,546.20
  4. Step 4: Simplify right side
    54,855.81x = 2,348,405,668.01
  5. Step 5: Solve for x
    x = 2,348,405,668.01/54,855.81
  6. Step 6: Final answer
    x = 42,810.52

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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.