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Finding the Fourth Proportional to 38,464.80, 57,697.20 and 32,827.20

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Solution

The fourth proportional to 38,464.80, 57,697.20 and 32,827.20 is: 49,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.80 : 57,697.20 = 32,827.20 : x
  2. Step 2: Convert to fraction form
    38,464.80/57,697.20 = 32,827.20/x
  3. Step 3: Cross multiply
    38,464.80x = 57,697.20 × 32,827.20
  4. Step 4: Simplify right side
    38,464.80x = 1,894,037,523.84
  5. Step 5: Solve for x
    x = 1,894,037,523.84/38,464.80
  6. Step 6: Final answer
    x = 49,240.80

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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.