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Finding the Fourth Proportional to 34,378.50, 51,576.40 and 9,754.50

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Solution

The fourth proportional to 34,378.50, 51,576.40 and 9,754.50 is: 14,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.50 : 51,576.40 = 9,754.50 : x
  2. Step 2: Convert to fraction form
    34,378.50/51,576.40 = 9,754.50/x
  3. Step 3: Cross multiply
    34,378.50x = 51,576.40 × 9,754.50
  4. Step 4: Simplify right side
    34,378.50x = 503,101,993.80
  5. Step 5: Solve for x
    x = 503,101,993.80/34,378.50
  6. Step 6: Final answer
    x = 14,634.20

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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.