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Finding the Fourth Proportional to 43,857, 65,788.76 and 14,272.56

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Solution

The fourth proportional to 43,857, 65,788.76 and 14,272.56 is: 21,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,857 : 65,788.76 = 14,272.56 : x
  2. Step 2: Convert to fraction form
    43,857/65,788.76 = 14,272.56/x
  3. Step 3: Cross multiply
    43,857x = 65,788.76 × 14,272.56
  4. Step 4: Simplify right side
    43,857x = 938,974,024.43
  5. Step 5: Solve for x
    x = 938,974,024.43/43,857
  6. Step 6: Final answer
    x = 21,409.90

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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.