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Finding the Fourth Proportional to 30,812.49, 46,211.64 and 8,627.43

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Solution

The fourth proportional to 30,812.49, 46,211.64 and 8,627.43 is: 12,939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.49 : 46,211.64 = 8,627.43 : x
  2. Step 2: Convert to fraction form
    30,812.49/46,211.64 = 8,627.43/x
  3. Step 3: Cross multiply
    30,812.49x = 46,211.64 × 8,627.43
  4. Step 4: Simplify right side
    30,812.49x = 398,687,689.29
  5. Step 5: Solve for x
    x = 398,687,689.29/30,812.49
  6. Step 6: Final answer
    x = 12,939.16

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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.