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Finding the Fourth Proportional to 30,814.12, 42,523.79 and 18,074.84

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Solution

The fourth proportional to 30,814.12, 42,523.79 and 18,074.84 is: 24,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.12 : 42,523.79 = 18,074.84 : x
  2. Step 2: Convert to fraction form
    30,814.12/42,523.79 = 18,074.84/x
  3. Step 3: Cross multiply
    30,814.12x = 42,523.79 × 18,074.84
  4. Step 4: Simplify right side
    30,814.12x = 768,610,700.44
  5. Step 5: Solve for x
    x = 768,610,700.44/30,814.12
  6. Step 6: Final answer
    x = 24,943.46

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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.