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Finding the Fourth Proportional to 36,205.26, 54,294.57 and 12,506.78

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Solution

The fourth proportional to 36,205.26, 54,294.57 and 12,506.78 is: 18,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205.26 : 54,294.57 = 12,506.78 : x
  2. Step 2: Convert to fraction form
    36,205.26/54,294.57 = 12,506.78/x
  3. Step 3: Cross multiply
    36,205.26x = 54,294.57 × 12,506.78
  4. Step 4: Simplify right side
    36,205.26x = 679,050,242.18
  5. Step 5: Solve for x
    x = 679,050,242.18/36,205.26
  6. Step 6: Final answer
    x = 18,755.57

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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.