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Finding the Fourth Proportional to 32,124.42, 48,241.76 and 19,717.29

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Solution

The fourth proportional to 32,124.42, 48,241.76 and 19,717.29 is: 29,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124.42 : 48,241.76 = 19,717.29 : x
  2. Step 2: Convert to fraction form
    32,124.42/48,241.76 = 19,717.29/x
  3. Step 3: Cross multiply
    32,124.42x = 48,241.76 × 19,717.29
  4. Step 4: Simplify right side
    32,124.42x = 951,196,673.44
  5. Step 5: Solve for x
    x = 951,196,673.44/32,124.42
  6. Step 6: Final answer
    x = 29,609.77

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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.