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Finding the Fourth Proportional to 32,276.42, 48,422.42 and 11,213.41

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Solution

The fourth proportional to 32,276.42, 48,422.42 and 11,213.41 is: 16,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,276.42 : 48,422.42 = 11,213.41 : x
  2. Step 2: Convert to fraction form
    32,276.42/48,422.42 = 11,213.41/x
  3. Step 3: Cross multiply
    32,276.42x = 48,422.42 × 11,213.41
  4. Step 4: Simplify right side
    32,276.42x = 542,980,150.47
  5. Step 5: Solve for x
    x = 542,980,150.47/32,276.42
  6. Step 6: Final answer
    x = 16,822.81

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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.