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Finding the Fourth Proportional to 100,971.72, 151,475.52 and 33,507.78

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Solution

The fourth proportional to 100,971.72, 151,475.52 and 33,507.78 is: 50,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.72 : 151,475.52 = 33,507.78 : x
  2. Step 2: Convert to fraction form
    100,971.72/151,475.52 = 33,507.78/x
  3. Step 3: Cross multiply
    100,971.72x = 151,475.52 × 33,507.78
  4. Step 4: Simplify right side
    100,971.72x = 5,075,608,399.55
  5. Step 5: Solve for x
    x = 5,075,608,399.55/100,971.72
  6. Step 6: Final answer
    x = 50,267.62

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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.