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Finding the Fourth Proportional to 34,711.04, 47,898.96 and 20,564.96

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Solution

The fourth proportional to 34,711.04, 47,898.96 and 20,564.96 is: 28,378.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711.04 : 47,898.96 = 20,564.96 : x
  2. Step 2: Convert to fraction form
    34,711.04/47,898.96 = 20,564.96/x
  3. Step 3: Cross multiply
    34,711.04x = 47,898.96 × 20,564.96
  4. Step 4: Simplify right side
    34,711.04x = 985,040,196.44
  5. Step 5: Solve for x
    x = 985,040,196.44/34,711.04
  6. Step 6: Final answer
    x = 28,378.30

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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.