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Finding the Fourth Proportional to 103,784.06, 155,697.90 and 33,657.86

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Solution

The fourth proportional to 103,784.06, 155,697.90 and 33,657.86 is: 50,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,784.06 : 155,697.90 = 33,657.86 : x
  2. Step 2: Convert to fraction form
    103,784.06/155,697.90 = 33,657.86/x
  3. Step 3: Cross multiply
    103,784.06x = 155,697.90 × 33,657.86
  4. Step 4: Simplify right side
    103,784.06x = 5,240,458,120.49
  5. Step 5: Solve for x
    x = 5,240,458,120.49/103,784.06
  6. Step 6: Final answer
    x = 50,493.86

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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.