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Finding the Fourth Proportional to 39,949.64, 55,152.60 and 24,038

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Solution

The fourth proportional to 39,949.64, 55,152.60 and 24,038 is: 33,185.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,949.64 : 55,152.60 = 24,038 : x
  2. Step 2: Convert to fraction form
    39,949.64/55,152.60 = 24,038/x
  3. Step 3: Cross multiply
    39,949.64x = 55,152.60 × 24,038
  4. Step 4: Simplify right side
    39,949.64x = 1,325,758,198.80
  5. Step 5: Solve for x
    x = 1,325,758,198.80/39,949.64
  6. Step 6: Final answer
    x = 33,185.74

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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.