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Finding the Fourth Proportional to 30,777.88, 42,462.12 and 23,609.08

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Solution

The fourth proportional to 30,777.88, 42,462.12 and 23,609.08 is: 32,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.88 : 42,462.12 = 23,609.08 : x
  2. Step 2: Convert to fraction form
    30,777.88/42,462.12 = 23,609.08/x
  3. Step 3: Cross multiply
    30,777.88x = 42,462.12 × 23,609.08
  4. Step 4: Simplify right side
    30,777.88x = 1,002,491,588.05
  5. Step 5: Solve for x
    x = 1,002,491,588.05/30,777.88
  6. Step 6: Final answer
    x = 32,571.82

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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.