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Finding the Fourth Proportional to 32,714.08, 48,997.31 and 15,147

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Solution

The fourth proportional to 32,714.08, 48,997.31 and 15,147 is: 22,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.08 : 48,997.31 = 15,147 : x
  2. Step 2: Convert to fraction form
    32,714.08/48,997.31 = 15,147/x
  3. Step 3: Cross multiply
    32,714.08x = 48,997.31 × 15,147
  4. Step 4: Simplify right side
    32,714.08x = 742,162,178.84
  5. Step 5: Solve for x
    x = 742,162,178.84/32,714.08
  6. Step 6: Final answer
    x = 22,686.32

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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.