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Finding the Fourth Proportional to 30,511.46, 45,774.50 and 12,732.23

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Solution

The fourth proportional to 30,511.46, 45,774.50 and 12,732.23 is: 19,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.46 : 45,774.50 = 12,732.23 : x
  2. Step 2: Convert to fraction form
    30,511.46/45,774.50 = 12,732.23/x
  3. Step 3: Cross multiply
    30,511.46x = 45,774.50 × 12,732.23
  4. Step 4: Simplify right side
    30,511.46x = 582,811,501.39
  5. Step 5: Solve for x
    x = 582,811,501.39/30,511.46
  6. Step 6: Final answer
    x = 19,101.40

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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.