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Finding the Fourth Proportional to 49,125.20, 73,687.80 and 12,189.20

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Solution

The fourth proportional to 49,125.20, 73,687.80 and 12,189.20 is: 18,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,125.20 : 73,687.80 = 12,189.20 : x
  2. Step 2: Convert to fraction form
    49,125.20/73,687.80 = 12,189.20/x
  3. Step 3: Cross multiply
    49,125.20x = 73,687.80 × 12,189.20
  4. Step 4: Simplify right side
    49,125.20x = 898,195,331.76
  5. Step 5: Solve for x
    x = 898,195,331.76/49,125.20
  6. Step 6: Final answer
    x = 18,283.80

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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.