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Finding the Fourth Proportional to 34,309.43, 47,352.00 and 19,770.80

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Solution

The fourth proportional to 34,309.43, 47,352.00 and 19,770.80 is: 27,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,309.43 : 47,352.00 = 19,770.80 : x
  2. Step 2: Convert to fraction form
    34,309.43/47,352.00 = 19,770.80/x
  3. Step 3: Cross multiply
    34,309.43x = 47,352.00 × 19,770.80
  4. Step 4: Simplify right side
    34,309.43x = 936,186,703.38
  5. Step 5: Solve for x
    x = 936,186,703.38/34,309.43
  6. Step 6: Final answer
    x = 27,286.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.