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Finding the Fourth Proportional to 36,829.50, 55,244.25 and 12,205.50

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Solution

The fourth proportional to 36,829.50, 55,244.25 and 12,205.50 is: 18,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,829.50 : 55,244.25 = 12,205.50 : x
  2. Step 2: Convert to fraction form
    36,829.50/55,244.25 = 12,205.50/x
  3. Step 3: Cross multiply
    36,829.50x = 55,244.25 × 12,205.50
  4. Step 4: Simplify right side
    36,829.50x = 674,283,693.38
  5. Step 5: Solve for x
    x = 674,283,693.38/36,829.50
  6. Step 6: Final answer
    x = 18,308.25

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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.