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Finding the Fourth Proportional to 54,776.70, 82,200.94 and 19,237.09

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Solution

The fourth proportional to 54,776.70, 82,200.94 and 19,237.09 is: 28,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776.70 : 82,200.94 = 19,237.09 : x
  2. Step 2: Convert to fraction form
    54,776.70/82,200.94 = 19,237.09/x
  3. Step 3: Cross multiply
    54,776.70x = 82,200.94 × 19,237.09
  4. Step 4: Simplify right side
    54,776.70x = 1,581,306,627.27
  5. Step 5: Solve for x
    x = 1,581,306,627.27/54,776.70
  6. Step 6: Final answer
    x = 28,868.23

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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.