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Finding the Fourth Proportional to 52,676.44, 72,742 and 33,846.38

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Solution

The fourth proportional to 52,676.44, 72,742 and 33,846.38 is: 46,739.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,676.44 : 72,742 = 33,846.38 : x
  2. Step 2: Convert to fraction form
    52,676.44/72,742 = 33,846.38/x
  3. Step 3: Cross multiply
    52,676.44x = 72,742 × 33,846.38
  4. Step 4: Simplify right side
    52,676.44x = 2,462,053,373.96
  5. Step 5: Solve for x
    x = 2,462,053,373.96/52,676.44
  6. Step 6: Final answer
    x = 46,739.18

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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.