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Finding the Fourth Proportional to 54,855.35, 82,283.03 and 13,302.35

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Solution

The fourth proportional to 54,855.35, 82,283.03 and 13,302.35 is: 19,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.35 : 82,283.03 = 13,302.35 : x
  2. Step 2: Convert to fraction form
    54,855.35/82,283.03 = 13,302.35/x
  3. Step 3: Cross multiply
    54,855.35x = 82,283.03 × 13,302.35
  4. Step 4: Simplify right side
    54,855.35x = 1,094,557,757.35
  5. Step 5: Solve for x
    x = 1,094,557,757.35/54,855.35
  6. Step 6: Final answer
    x = 19,953.53

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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.