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Finding the Fourth Proportional to 45,296.84, 67,918.43 and 13,697.33

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Solution

The fourth proportional to 45,296.84, 67,918.43 and 13,697.33 is: 20,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296.84 : 67,918.43 = 13,697.33 : x
  2. Step 2: Convert to fraction form
    45,296.84/67,918.43 = 13,697.33/x
  3. Step 3: Cross multiply
    45,296.84x = 67,918.43 × 13,697.33
  4. Step 4: Simplify right side
    45,296.84x = 930,300,843.44
  5. Step 5: Solve for x
    x = 930,300,843.44/45,296.84
  6. Step 6: Final answer
    x = 20,537.87

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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.