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Finding the Fourth Proportional to 32,806.26, 49,206.60 and 19,648.98

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Solution

The fourth proportional to 32,806.26, 49,206.60 and 19,648.98 is: 29,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.26 : 49,206.60 = 19,648.98 : x
  2. Step 2: Convert to fraction form
    32,806.26/49,206.60 = 19,648.98/x
  3. Step 3: Cross multiply
    32,806.26x = 49,206.60 × 19,648.98
  4. Step 4: Simplify right side
    32,806.26x = 966,859,499.27
  5. Step 5: Solve for x
    x = 966,859,499.27/32,806.26
  6. Step 6: Final answer
    x = 29,471.80

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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.