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Finding the Fourth Proportional to 37,051.75, 51,132.23 and 20,284.75

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Solution

The fourth proportional to 37,051.75, 51,132.23 and 20,284.75 is: 27,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051.75 : 51,132.23 = 20,284.75 : x
  2. Step 2: Convert to fraction form
    37,051.75/51,132.23 = 20,284.75/x
  3. Step 3: Cross multiply
    37,051.75x = 51,132.23 × 20,284.75
  4. Step 4: Simplify right side
    37,051.75x = 1,037,204,502.49
  5. Step 5: Solve for x
    x = 1,037,204,502.49/37,051.75
  6. Step 6: Final answer
    x = 27,993.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.