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Finding the Fourth Proportional to 32,638.14, 48,957.21 and 10,451.43

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Solution

The fourth proportional to 32,638.14, 48,957.21 and 10,451.43 is: 15,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,638.14 : 48,957.21 = 10,451.43 : x
  2. Step 2: Convert to fraction form
    32,638.14/48,957.21 = 10,451.43/x
  3. Step 3: Cross multiply
    32,638.14x = 48,957.21 × 10,451.43
  4. Step 4: Simplify right side
    32,638.14x = 511,672,853.31
  5. Step 5: Solve for x
    x = 511,672,853.31/32,638.14
  6. Step 6: Final answer
    x = 15,677.15

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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.