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Finding the Fourth Proportional to 36,069.12, 54,097.20 and 16,344

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Solution

The fourth proportional to 36,069.12, 54,097.20 and 16,344 is: 24,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,069.12 : 54,097.20 = 16,344 : x
  2. Step 2: Convert to fraction form
    36,069.12/54,097.20 = 16,344/x
  3. Step 3: Cross multiply
    36,069.12x = 54,097.20 × 16,344
  4. Step 4: Simplify right side
    36,069.12x = 884,164,636.80
  5. Step 5: Solve for x
    x = 884,164,636.80/36,069.12
  6. Step 6: Final answer
    x = 24,513.06

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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.