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Finding the Fourth Proportional to 92,692.26, 127,916.32 and 54,453.42

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Solution

The fourth proportional to 92,692.26, 127,916.32 and 54,453.42 is: 75,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,692.26 : 127,916.32 = 54,453.42 : x
  2. Step 2: Convert to fraction form
    92,692.26/127,916.32 = 54,453.42/x
  3. Step 3: Cross multiply
    92,692.26x = 127,916.32 × 54,453.42
  4. Step 4: Simplify right side
    92,692.26x = 6,965,481,097.81
  5. Step 5: Solve for x
    x = 6,965,481,097.81/92,692.26
  6. Step 6: Final answer
    x = 75,146.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.