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Finding the Fourth Proportional to 37,414.01, 51,629.74 and 20,417.83

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Solution

The fourth proportional to 37,414.01, 51,629.74 and 20,417.83 is: 28,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,414.01 : 51,629.74 = 20,417.83 : x
  2. Step 2: Convert to fraction form
    37,414.01/51,629.74 = 20,417.83/x
  3. Step 3: Cross multiply
    37,414.01x = 51,629.74 × 20,417.83
  4. Step 4: Simplify right side
    37,414.01x = 1,054,167,074.15
  5. Step 5: Solve for x
    x = 1,054,167,074.15/37,414.01
  6. Step 6: Final answer
    x = 28,175.73

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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.