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Finding the Fourth Proportional to 32,162.32, 48,238.44 and 19,678

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Solution

The fourth proportional to 32,162.32, 48,238.44 and 19,678 is: 29,513.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.32 : 48,238.44 = 19,678 : x
  2. Step 2: Convert to fraction form
    32,162.32/48,238.44 = 19,678/x
  3. Step 3: Cross multiply
    32,162.32x = 48,238.44 × 19,678
  4. Step 4: Simplify right side
    32,162.32x = 949,236,022.32
  5. Step 5: Solve for x
    x = 949,236,022.32/32,162.32
  6. Step 6: Final answer
    x = 29,513.92

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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.