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Finding the Fourth Proportional to 34,375.50, 51,571.89 and 9,751.50

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Solution

The fourth proportional to 34,375.50, 51,571.89 and 9,751.50 is: 14,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,375.50 : 51,571.89 = 9,751.50 : x
  2. Step 2: Convert to fraction form
    34,375.50/51,571.89 = 9,751.50/x
  3. Step 3: Cross multiply
    34,375.50x = 51,571.89 × 9,751.50
  4. Step 4: Simplify right side
    34,375.50x = 502,903,285.34
  5. Step 5: Solve for x
    x = 502,903,285.34/34,375.50
  6. Step 6: Final answer
    x = 14,629.70

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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.