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Finding the Fourth Proportional to 36,763, 54,976.29 and 27,409.39

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Solution

The fourth proportional to 36,763, 54,976.29 and 27,409.39 is: 40,988.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,763 : 54,976.29 = 27,409.39 : x
  2. Step 2: Convert to fraction form
    36,763/54,976.29 = 27,409.39/x
  3. Step 3: Cross multiply
    36,763x = 54,976.29 × 27,409.39
  4. Step 4: Simplify right side
    36,763x = 1,506,866,573.36
  5. Step 5: Solve for x
    x = 1,506,866,573.36/36,763
  6. Step 6: Final answer
    x = 40,988.67

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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.