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Finding the Fourth Proportional to 39,214.38, 54,115.74 and 21,309.39

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Solution

The fourth proportional to 39,214.38, 54,115.74 and 21,309.39 is: 29,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,214.38 : 54,115.74 = 21,309.39 : x
  2. Step 2: Convert to fraction form
    39,214.38/54,115.74 = 21,309.39/x
  3. Step 3: Cross multiply
    39,214.38x = 54,115.74 × 21,309.39
  4. Step 4: Simplify right side
    39,214.38x = 1,153,173,408.80
  5. Step 5: Solve for x
    x = 1,153,173,408.80/39,214.38
  6. Step 6: Final answer
    x = 29,406.90

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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.