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Finding the Fourth Proportional to 36,000.14, 54,038.24 and 20,218.65

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Solution

The fourth proportional to 36,000.14, 54,038.24 and 20,218.65 is: 30,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,000.14 : 54,038.24 = 20,218.65 : x
  2. Step 2: Convert to fraction form
    36,000.14/54,038.24 = 20,218.65/x
  3. Step 3: Cross multiply
    36,000.14x = 54,038.24 × 20,218.65
  4. Step 4: Simplify right side
    36,000.14x = 1,092,580,160.08
  5. Step 5: Solve for x
    x = 1,092,580,160.08/36,000.14
  6. Step 6: Final answer
    x = 30,349.34

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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.