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Finding the Fourth Proportional to 69,300, 103,996.08 and 25,524

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Solution

The fourth proportional to 69,300, 103,996.08 and 25,524 is: 38,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,300 : 103,996.08 = 25,524 : x
  2. Step 2: Convert to fraction form
    69,300/103,996.08 = 25,524/x
  3. Step 3: Cross multiply
    69,300x = 103,996.08 × 25,524
  4. Step 4: Simplify right side
    69,300x = 2,654,395,945.92
  5. Step 5: Solve for x
    x = 2,654,395,945.92/69,300
  6. Step 6: Final answer
    x = 38,302.97

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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.