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Finding the Fourth Proportional to 49,125, 73,687.62 and 12,189

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Solution

The fourth proportional to 49,125, 73,687.62 and 12,189 is: 18,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125 : 73,687.62 = 12,189 : x
  2. Step 2: Convert to fraction form
    49,125/73,687.62 = 12,189/x
  3. Step 3: Cross multiply
    49,125x = 73,687.62 × 12,189
  4. Step 4: Simplify right side
    49,125x = 898,178,400.18
  5. Step 5: Solve for x
    x = 898,178,400.18/49,125
  6. Step 6: Final answer
    x = 18,283.53

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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.