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Finding the Fourth Proportional to 39,419.50, 54,399.90 and 21,516.16

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Solution

The fourth proportional to 39,419.50, 54,399.90 and 21,516.16 is: 29,692.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,419.50 : 54,399.90 = 21,516.16 : x
  2. Step 2: Convert to fraction form
    39,419.50/54,399.90 = 21,516.16/x
  3. Step 3: Cross multiply
    39,419.50x = 54,399.90 × 21,516.16
  4. Step 4: Simplify right side
    39,419.50x = 1,170,476,952.38
  5. Step 5: Solve for x
    x = 1,170,476,952.38/39,419.50
  6. Step 6: Final answer
    x = 29,692.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.