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Finding the Fourth Proportional to 32,175.62, 48,273.42 and 14,421.26

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Solution

The fourth proportional to 32,175.62, 48,273.42 and 14,421.26 is: 21,636.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.62 : 48,273.42 = 14,421.26 : x
  2. Step 2: Convert to fraction form
    32,175.62/48,273.42 = 14,421.26/x
  3. Step 3: Cross multiply
    32,175.62x = 48,273.42 × 14,421.26
  4. Step 4: Simplify right side
    32,175.62x = 696,163,540.91
  5. Step 5: Solve for x
    x = 696,163,540.91/32,175.62
  6. Step 6: Final answer
    x = 21,636.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.