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Finding the Fourth Proportional to 34,174.50, 51,270.39 and 9,550.50

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Solution

The fourth proportional to 34,174.50, 51,270.39 and 9,550.50 is: 14,328.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174.50 : 51,270.39 = 9,550.50 : x
  2. Step 2: Convert to fraction form
    34,174.50/51,270.39 = 9,550.50/x
  3. Step 3: Cross multiply
    34,174.50x = 51,270.39 × 9,550.50
  4. Step 4: Simplify right side
    34,174.50x = 489,657,859.70
  5. Step 5: Solve for x
    x = 489,657,859.70/34,174.50
  6. Step 6: Final answer
    x = 14,328.16

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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.