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Finding the Fourth Proportional to 36,311.98, 54,461.49 and 9,658.12

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Solution

The fourth proportional to 36,311.98, 54,461.49 and 9,658.12 is: 14,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,311.98 : 54,461.49 = 9,658.12 : x
  2. Step 2: Convert to fraction form
    36,311.98/54,461.49 = 9,658.12/x
  3. Step 3: Cross multiply
    36,311.98x = 54,461.49 × 9,658.12
  4. Step 4: Simplify right side
    36,311.98x = 525,995,605.80
  5. Step 5: Solve for x
    x = 525,995,605.80/36,311.98
  6. Step 6: Final answer
    x = 14,485.46

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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.