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Finding the Fourth Proportional to 54,855.75, 82,283.90 and 13,302.75

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Solution

The fourth proportional to 54,855.75, 82,283.90 and 13,302.75 is: 19,954.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,855.75 : 82,283.90 = 13,302.75 : x
  2. Step 2: Convert to fraction form
    54,855.75/82,283.90 = 13,302.75/x
  3. Step 3: Cross multiply
    54,855.75x = 82,283.90 × 13,302.75
  4. Step 4: Simplify right side
    54,855.75x = 1,094,602,084.21
  5. Step 5: Solve for x
    x = 1,094,602,084.21/54,855.75
  6. Step 6: Final answer
    x = 19,954.19

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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.