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Finding the Fourth Proportional to 99,743.70, 149,615.55 and 36,563.70

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Solution

The fourth proportional to 99,743.70, 149,615.55 and 36,563.70 is: 54,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,743.70 : 149,615.55 = 36,563.70 : x
  2. Step 2: Convert to fraction form
    99,743.70/149,615.55 = 36,563.70/x
  3. Step 3: Cross multiply
    99,743.70x = 149,615.55 × 36,563.70
  4. Step 4: Simplify right side
    99,743.70x = 5,470,498,085.54
  5. Step 5: Solve for x
    x = 5,470,498,085.54/99,743.70
  6. Step 6: Final answer
    x = 54,845.55

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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.