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Finding the Fourth Proportional to 32,617.44, 48,939.12 and 11,842.56

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Solution

The fourth proportional to 32,617.44, 48,939.12 and 11,842.56 is: 17,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.44 : 48,939.12 = 11,842.56 : x
  2. Step 2: Convert to fraction form
    32,617.44/48,939.12 = 11,842.56/x
  3. Step 3: Cross multiply
    32,617.44x = 48,939.12 × 11,842.56
  4. Step 4: Simplify right side
    32,617.44x = 579,564,464.95
  5. Step 5: Solve for x
    x = 579,564,464.95/32,617.44
  6. Step 6: Final answer
    x = 17,768.55

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Why These Related Problems?

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