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Finding the Fourth Proportional to 50,507.58, 75,783.22 and 27,106.68

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Solution

The fourth proportional to 50,507.58, 75,783.22 and 27,106.68 is: 40,671.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.58 : 75,783.22 = 27,106.68 : x
  2. Step 2: Convert to fraction form
    50,507.58/75,783.22 = 27,106.68/x
  3. Step 3: Cross multiply
    50,507.58x = 75,783.22 × 27,106.68
  4. Step 4: Simplify right side
    50,507.58x = 2,054,231,493.91
  5. Step 5: Solve for x
    x = 2,054,231,493.91/50,507.58
  6. Step 6: Final answer
    x = 40,671.75

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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.