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Finding the Fourth Proportional to 32,322.44, 48,473.94 and 21,228.68

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Solution

The fourth proportional to 32,322.44, 48,473.94 and 21,228.68 is: 31,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,322.44 : 48,473.94 = 21,228.68 : x
  2. Step 2: Convert to fraction form
    32,322.44/48,473.94 = 21,228.68/x
  3. Step 3: Cross multiply
    32,322.44x = 48,473.94 × 21,228.68
  4. Step 4: Simplify right side
    32,322.44x = 1,029,037,760.60
  5. Step 5: Solve for x
    x = 1,029,037,760.60/32,322.44
  6. Step 6: Final answer
    x = 31,836.64

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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.