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Finding the Fourth Proportional to 32,353.16, 48,467.54 and 19,836.68

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Solution

The fourth proportional to 32,353.16, 48,467.54 and 19,836.68 is: 29,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,353.16 : 48,467.54 = 19,836.68 : x
  2. Step 2: Convert to fraction form
    32,353.16/48,467.54 = 19,836.68/x
  3. Step 3: Cross multiply
    32,353.16x = 48,467.54 × 19,836.68
  4. Step 4: Simplify right side
    32,353.16x = 961,434,739.85
  5. Step 5: Solve for x
    x = 961,434,739.85/32,353.16
  6. Step 6: Final answer
    x = 29,716.88

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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.