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Finding the Fourth Proportional to 43,727, 65,604.33 and 15,646.43

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Solution

The fourth proportional to 43,727, 65,604.33 and 15,646.43 is: 23,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,727 : 65,604.33 = 15,646.43 : x
  2. Step 2: Convert to fraction form
    43,727/65,604.33 = 15,646.43/x
  3. Step 3: Cross multiply
    43,727x = 65,604.33 × 15,646.43
  4. Step 4: Simplify right side
    43,727x = 1,026,473,557.04
  5. Step 5: Solve for x
    x = 1,026,473,557.04/43,727
  6. Step 6: Final answer
    x = 23,474.59

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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.