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Finding the Fourth Proportional to 36,578.80, 54,830.40 and 19,903.60

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Solution

The fourth proportional to 36,578.80, 54,830.40 and 19,903.60 is: 29,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.80 : 54,830.40 = 19,903.60 : x
  2. Step 2: Convert to fraction form
    36,578.80/54,830.40 = 19,903.60/x
  3. Step 3: Cross multiply
    36,578.80x = 54,830.40 × 19,903.60
  4. Step 4: Simplify right side
    36,578.80x = 1,091,322,349.44
  5. Step 5: Solve for x
    x = 1,091,322,349.44/36,578.80
  6. Step 6: Final answer
    x = 29,834.83

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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.