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Finding the Fourth Proportional to 34,709.38, 47,893.53 and 20,559.94

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Solution

The fourth proportional to 34,709.38, 47,893.53 and 20,559.94 is: 28,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.38 : 47,893.53 = 20,559.94 : x
  2. Step 2: Convert to fraction form
    34,709.38/47,893.53 = 20,559.94/x
  3. Step 3: Cross multiply
    34,709.38x = 47,893.53 × 20,559.94
  4. Step 4: Simplify right side
    34,709.38x = 984,688,103.19
  5. Step 5: Solve for x
    x = 984,688,103.19/34,709.38
  6. Step 6: Final answer
    x = 28,369.51

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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.