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Finding the Fourth Proportional to 30,515.38, 45,773.90 and 9,738.88

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Solution

The fourth proportional to 30,515.38, 45,773.90 and 9,738.88 is: 14,608.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,515.38 : 45,773.90 = 9,738.88 : x
  2. Step 2: Convert to fraction form
    30,515.38/45,773.90 = 9,738.88/x
  3. Step 3: Cross multiply
    30,515.38x = 45,773.90 × 9,738.88
  4. Step 4: Simplify right side
    30,515.38x = 445,786,519.23
  5. Step 5: Solve for x
    x = 445,786,519.23/30,515.38
  6. Step 6: Final answer
    x = 14,608.58

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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.