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Finding the Fourth Proportional to 55,675, 83,525.47 and 18,739

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Solution

The fourth proportional to 55,675, 83,525.47 and 18,739 is: 28,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,675 : 83,525.47 = 18,739 : x
  2. Step 2: Convert to fraction form
    55,675/83,525.47 = 18,739/x
  3. Step 3: Cross multiply
    55,675x = 83,525.47 × 18,739
  4. Step 4: Simplify right side
    55,675x = 1,565,183,782.33
  5. Step 5: Solve for x
    x = 1,565,183,782.33/55,675
  6. Step 6: Final answer
    x = 28,112.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.