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Finding the Fourth Proportional to 30,748.74, 42,438 and 18,651.21

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Solution

The fourth proportional to 30,748.74, 42,438 and 18,651.21 is: 25,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.74 : 42,438 = 18,651.21 : x
  2. Step 2: Convert to fraction form
    30,748.74/42,438 = 18,651.21/x
  3. Step 3: Cross multiply
    30,748.74x = 42,438 × 18,651.21
  4. Step 4: Simplify right side
    30,748.74x = 791,520,049.98
  5. Step 5: Solve for x
    x = 791,520,049.98/30,748.74
  6. Step 6: Final answer
    x = 25,741.54

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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.