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Finding the Fourth Proportional to 30,306.72, 45,462.68 and 9,251.50

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Solution

The fourth proportional to 30,306.72, 45,462.68 and 9,251.50 is: 13,878.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306.72 : 45,462.68 = 9,251.50 : x
  2. Step 2: Convert to fraction form
    30,306.72/45,462.68 = 9,251.50/x
  3. Step 3: Cross multiply
    30,306.72x = 45,462.68 × 9,251.50
  4. Step 4: Simplify right side
    30,306.72x = 420,597,984.02
  5. Step 5: Solve for x
    x = 420,597,984.02/30,306.72
  6. Step 6: Final answer
    x = 13,878.04

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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.