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Finding the Fourth Proportional to 32,830.56, 49,261.22 and 16,181.52

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Solution

The fourth proportional to 32,830.56, 49,261.22 and 16,181.52 is: 24,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.56 : 49,261.22 = 16,181.52 : x
  2. Step 2: Convert to fraction form
    32,830.56/49,261.22 = 16,181.52/x
  3. Step 3: Cross multiply
    32,830.56x = 49,261.22 × 16,181.52
  4. Step 4: Simplify right side
    32,830.56x = 797,121,335.75
  5. Step 5: Solve for x
    x = 797,121,335.75/32,830.56
  6. Step 6: Final answer
    x = 24,279.86

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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.