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Finding the Fourth Proportional to 34,253, 51,379.50 and 9,629

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Solution

The fourth proportional to 34,253, 51,379.50 and 9,629 is: 14,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,253 : 51,379.50 = 9,629 : x
  2. Step 2: Convert to fraction form
    34,253/51,379.50 = 9,629/x
  3. Step 3: Cross multiply
    34,253x = 51,379.50 × 9,629
  4. Step 4: Simplify right side
    34,253x = 494,733,205.50
  5. Step 5: Solve for x
    x = 494,733,205.50/34,253
  6. Step 6: Final answer
    x = 14,443.50

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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.