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Finding the Fourth Proportional to 32,447.30, 48,675.74 and 10,255.64

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Solution

The fourth proportional to 32,447.30, 48,675.74 and 10,255.64 is: 15,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.30 : 48,675.74 = 10,255.64 : x
  2. Step 2: Convert to fraction form
    32,447.30/48,675.74 = 10,255.64/x
  3. Step 3: Cross multiply
    32,447.30x = 48,675.74 × 10,255.64
  4. Step 4: Simplify right side
    32,447.30x = 499,200,571.52
  5. Step 5: Solve for x
    x = 499,200,571.52/32,447.30
  6. Step 6: Final answer
    x = 15,384.97

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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.