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Finding the Fourth Proportional to 32,647.08, 48,939.56 and 10,446.14

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Solution

The fourth proportional to 32,647.08, 48,939.56 and 10,446.14 is: 15,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.08 : 48,939.56 = 10,446.14 : x
  2. Step 2: Convert to fraction form
    32,647.08/48,939.56 = 10,446.14/x
  3. Step 3: Cross multiply
    32,647.08x = 48,939.56 × 10,446.14
  4. Step 4: Simplify right side
    32,647.08x = 511,229,495.30
  5. Step 5: Solve for x
    x = 511,229,495.30/32,647.08
  6. Step 6: Final answer
    x = 15,659.27

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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.