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Finding the Fourth Proportional to 43,729, 65,604.58 and 12,564.26

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Solution

The fourth proportional to 43,729, 65,604.58 and 12,564.26 is: 18,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,729 : 65,604.58 = 12,564.26 : x
  2. Step 2: Convert to fraction form
    43,729/65,604.58 = 12,564.26/x
  3. Step 3: Cross multiply
    43,729x = 65,604.58 × 12,564.26
  4. Step 4: Simplify right side
    43,729x = 824,273,000.31
  5. Step 5: Solve for x
    x = 824,273,000.31/43,729
  6. Step 6: Final answer
    x = 18,849.57

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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.