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Finding the Fourth Proportional to 36,105.64, 54,180.30 and 15,329.14

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Solution

The fourth proportional to 36,105.64, 54,180.30 and 15,329.14 is: 23,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105.64 : 54,180.30 = 15,329.14 : x
  2. Step 2: Convert to fraction form
    36,105.64/54,180.30 = 15,329.14/x
  3. Step 3: Cross multiply
    36,105.64x = 54,180.30 × 15,329.14
  4. Step 4: Simplify right side
    36,105.64x = 830,537,403.94
  5. Step 5: Solve for x
    x = 830,537,403.94/36,105.64
  6. Step 6: Final answer
    x = 23,002.98

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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.