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Finding the Fourth Proportional to 30,461.56, 45,692.16 and 11,489.74

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Solution

The fourth proportional to 30,461.56, 45,692.16 and 11,489.74 is: 17,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.56 : 45,692.16 = 11,489.74 : x
  2. Step 2: Convert to fraction form
    30,461.56/45,692.16 = 11,489.74/x
  3. Step 3: Cross multiply
    30,461.56x = 45,692.16 × 11,489.74
  4. Step 4: Simplify right side
    30,461.56x = 524,991,038.44
  5. Step 5: Solve for x
    x = 524,991,038.44/30,461.56
  6. Step 6: Final answer
    x = 17,234.54

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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.