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Finding the Fourth Proportional to 30,204, 41,681.52 and 17,628.84

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Solution

The fourth proportional to 30,204, 41,681.52 and 17,628.84 is: 24,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204 : 41,681.52 = 17,628.84 : x
  2. Step 2: Convert to fraction form
    30,204/41,681.52 = 17,628.84/x
  3. Step 3: Cross multiply
    30,204x = 41,681.52 × 17,628.84
  4. Step 4: Simplify right side
    30,204x = 734,796,847.04
  5. Step 5: Solve for x
    x = 734,796,847.04/30,204
  6. Step 6: Final answer
    x = 24,327.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.