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Finding the Fourth Proportional to 36,282.84, 54,441 and 16,567.44

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Solution

The fourth proportional to 36,282.84, 54,441 and 16,567.44 is: 24,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,282.84 : 54,441 = 16,567.44 : x
  2. Step 2: Convert to fraction form
    36,282.84/54,441 = 16,567.44/x
  3. Step 3: Cross multiply
    36,282.84x = 54,441 × 16,567.44
  4. Step 4: Simplify right side
    36,282.84x = 901,948,001.04
  5. Step 5: Solve for x
    x = 901,948,001.04/36,282.84
  6. Step 6: Final answer
    x = 24,858.80

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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.