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Finding the Fourth Proportional to 103,642.56, 155,458.80 and 33,520.32

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Solution

The fourth proportional to 103,642.56, 155,458.80 and 33,520.32 is: 50,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,642.56 : 155,458.80 = 33,520.32 : x
  2. Step 2: Convert to fraction form
    103,642.56/155,458.80 = 33,520.32/x
  3. Step 3: Cross multiply
    103,642.56x = 155,458.80 × 33,520.32
  4. Step 4: Simplify right side
    103,642.56x = 5,211,028,722.82
  5. Step 5: Solve for x
    x = 5,211,028,722.82/103,642.56
  6. Step 6: Final answer
    x = 50,278.85

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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.