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Finding the Fourth Proportional to 32,976.64, 49,471.44 and 12,200.32

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Solution

The fourth proportional to 32,976.64, 49,471.44 and 12,200.32 is: 18,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.64 : 49,471.44 = 12,200.32 : x
  2. Step 2: Convert to fraction form
    32,976.64/49,471.44 = 12,200.32/x
  3. Step 3: Cross multiply
    32,976.64x = 49,471.44 × 12,200.32
  4. Step 4: Simplify right side
    32,976.64x = 603,567,398.86
  5. Step 5: Solve for x
    x = 603,567,398.86/32,976.64
  6. Step 6: Final answer
    x = 18,302.88

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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.