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Finding the Fourth Proportional to 32,419.31, 48,609.51 and 12,674.33

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Solution

The fourth proportional to 32,419.31, 48,609.51 and 12,674.33 is: 19,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.31 : 48,609.51 = 12,674.33 : x
  2. Step 2: Convert to fraction form
    32,419.31/48,609.51 = 12,674.33/x
  3. Step 3: Cross multiply
    32,419.31x = 48,609.51 × 12,674.33
  4. Step 4: Simplify right side
    32,419.31x = 616,092,970.88
  5. Step 5: Solve for x
    x = 616,092,970.88/32,419.31
  6. Step 6: Final answer
    x = 19,003.89

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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.