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Finding the Fourth Proportional to 34,537.46, 51,806.20 and 9,583.80

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Solution

The fourth proportional to 34,537.46, 51,806.20 and 9,583.80 is: 14,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,537.46 : 51,806.20 = 9,583.80 : x
  2. Step 2: Convert to fraction form
    34,537.46/51,806.20 = 9,583.80/x
  3. Step 3: Cross multiply
    34,537.46x = 51,806.20 × 9,583.80
  4. Step 4: Simplify right side
    34,537.46x = 496,500,259.56
  5. Step 5: Solve for x
    x = 496,500,259.56/34,537.46
  6. Step 6: Final answer
    x = 14,375.70

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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.