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Finding the Fourth Proportional to 39,039, 53,873.82 and 22,271.64

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Solution

The fourth proportional to 39,039, 53,873.82 and 22,271.64 is: 30,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,039 : 53,873.82 = 22,271.64 : x
  2. Step 2: Convert to fraction form
    39,039/53,873.82 = 22,271.64/x
  3. Step 3: Cross multiply
    39,039x = 53,873.82 × 22,271.64
  4. Step 4: Simplify right side
    39,039x = 1,199,858,324.46
  5. Step 5: Solve for x
    x = 1,199,858,324.46/39,039
  6. Step 6: Final answer
    x = 30,734.86

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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.