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Finding the Fourth Proportional to 39,408.38, 54,391.66 and 24,097.55

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Solution

The fourth proportional to 39,408.38, 54,391.66 and 24,097.55 is: 33,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,408.38 : 54,391.66 = 24,097.55 : x
  2. Step 2: Convert to fraction form
    39,408.38/54,391.66 = 24,097.55/x
  3. Step 3: Cross multiply
    39,408.38x = 54,391.66 × 24,097.55
  4. Step 4: Simplify right side
    39,408.38x = 1,310,705,746.43
  5. Step 5: Solve for x
    x = 1,310,705,746.43/39,408.38
  6. Step 6: Final answer
    x = 33,259.57

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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.