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Finding the Fourth Proportional to 36,083.67, 54,118.21 and 9,782.16

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Solution

The fourth proportional to 36,083.67, 54,118.21 and 9,782.16 is: 14,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,083.67 : 54,118.21 = 9,782.16 : x
  2. Step 2: Convert to fraction form
    36,083.67/54,118.21 = 9,782.16/x
  3. Step 3: Cross multiply
    36,083.67x = 54,118.21 × 9,782.16
  4. Step 4: Simplify right side
    36,083.67x = 529,392,989.13
  5. Step 5: Solve for x
    x = 529,392,989.13/36,083.67
  6. Step 6: Final answer
    x = 14,671.26

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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.