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Finding the Fourth Proportional to 32,766.88, 49,150.32 and 8,142.88

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Solution

The fourth proportional to 32,766.88, 49,150.32 and 8,142.88 is: 12,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766.88 : 49,150.32 = 8,142.88 : x
  2. Step 2: Convert to fraction form
    32,766.88/49,150.32 = 8,142.88/x
  3. Step 3: Cross multiply
    32,766.88x = 49,150.32 × 8,142.88
  4. Step 4: Simplify right side
    32,766.88x = 400,225,157.72
  5. Step 5: Solve for x
    x = 400,225,157.72/32,766.88
  6. Step 6: Final answer
    x = 12,214.32

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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.