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Finding the Fourth Proportional to 30,512.12, 45,769.82 and 9,734

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Solution

The fourth proportional to 30,512.12, 45,769.82 and 9,734 is: 14,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.12 : 45,769.82 = 9,734 : x
  2. Step 2: Convert to fraction form
    30,512.12/45,769.82 = 9,734/x
  3. Step 3: Cross multiply
    30,512.12x = 45,769.82 × 9,734
  4. Step 4: Simplify right side
    30,512.12x = 445,523,427.88
  5. Step 5: Solve for x
    x = 445,523,427.88/30,512.12
  6. Step 6: Final answer
    x = 14,601.52

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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.