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Finding the Fourth Proportional to 30,512.46, 45,776 and 12,733.23

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Solution

The fourth proportional to 30,512.46, 45,776 and 12,733.23 is: 19,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512.46 : 45,776 = 12,733.23 : x
  2. Step 2: Convert to fraction form
    30,512.46/45,776 = 12,733.23/x
  3. Step 3: Cross multiply
    30,512.46x = 45,776 × 12,733.23
  4. Step 4: Simplify right side
    30,512.46x = 582,876,336.48
  5. Step 5: Solve for x
    x = 582,876,336.48/30,512.46
  6. Step 6: Final answer
    x = 19,102.90

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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.