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Finding the Fourth Proportional to 100,534.17, 150,571.50 and 47,980.56

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Solution

The fourth proportional to 100,534.17, 150,571.50 and 47,980.56 is: 71,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,534.17 : 150,571.50 = 47,980.56 : x
  2. Step 2: Convert to fraction form
    100,534.17/150,571.50 = 47,980.56/x
  3. Step 3: Cross multiply
    100,534.17x = 150,571.50 × 47,980.56
  4. Step 4: Simplify right side
    100,534.17x = 7,224,504,890.04
  5. Step 5: Solve for x
    x = 7,224,504,890.04/100,534.17
  6. Step 6: Final answer
    x = 71,861.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.