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Finding the Fourth Proportional to 69,834.38, 104,762.50 and 23,098.19

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Solution

The fourth proportional to 69,834.38, 104,762.50 and 23,098.19 is: 34,650.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,834.38 : 104,762.50 = 23,098.19 : x
  2. Step 2: Convert to fraction form
    69,834.38/104,762.50 = 23,098.19/x
  3. Step 3: Cross multiply
    69,834.38x = 104,762.50 × 23,098.19
  4. Step 4: Simplify right side
    69,834.38x = 2,419,823,548.32
  5. Step 5: Solve for x
    x = 2,419,823,548.32/69,834.38
  6. Step 6: Final answer
    x = 34,650.89

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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.