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Finding the Fourth Proportional to 43,072.97, 64,609.45 and 19,683

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Solution

The fourth proportional to 43,072.97, 64,609.45 and 19,683 is: 29,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,072.97 : 64,609.45 = 19,683 : x
  2. Step 2: Convert to fraction form
    43,072.97/64,609.45 = 19,683/x
  3. Step 3: Cross multiply
    43,072.97x = 64,609.45 × 19,683
  4. Step 4: Simplify right side
    43,072.97x = 1,271,707,755.14
  5. Step 5: Solve for x
    x = 1,271,707,755.14/43,072.97
  6. Step 6: Final answer
    x = 29,524.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.