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Finding the Fourth Proportional to 36,578.47, 54,869.60 and 11,620.48

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Solution

The fourth proportional to 36,578.47, 54,869.60 and 11,620.48 is: 17,431.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.47 : 54,869.60 = 11,620.48 : x
  2. Step 2: Convert to fraction form
    36,578.47/54,869.60 = 11,620.48/x
  3. Step 3: Cross multiply
    36,578.47x = 54,869.60 × 11,620.48
  4. Step 4: Simplify right side
    36,578.47x = 637,611,089.41
  5. Step 5: Solve for x
    x = 637,611,089.41/36,578.47
  6. Step 6: Final answer
    x = 17,431.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.