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Finding the Fourth Proportional to 49,801.50, 74,657.23 and 18,189.26

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Solution

The fourth proportional to 49,801.50, 74,657.23 and 18,189.26 is: 27,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,801.50 : 74,657.23 = 18,189.26 : x
  2. Step 2: Convert to fraction form
    49,801.50/74,657.23 = 18,189.26/x
  3. Step 3: Cross multiply
    49,801.50x = 74,657.23 × 18,189.26
  4. Step 4: Simplify right side
    49,801.50x = 1,357,959,628.56
  5. Step 5: Solve for x
    x = 1,357,959,628.56/49,801.50
  6. Step 6: Final answer
    x = 27,267.44

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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.