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Finding the Fourth Proportional to 32,967.20, 49,523.64 and 19,827.20

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Solution

The fourth proportional to 32,967.20, 49,523.64 and 19,827.20 is: 29,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.20 : 49,523.64 = 19,827.20 : x
  2. Step 2: Convert to fraction form
    32,967.20/49,523.64 = 19,827.20/x
  3. Step 3: Cross multiply
    32,967.20x = 49,523.64 × 19,827.20
  4. Step 4: Simplify right side
    32,967.20x = 981,915,115.01
  5. Step 5: Solve for x
    x = 981,915,115.01/32,967.20
  6. Step 6: Final answer
    x = 29,784.61

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1.5x scale

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.