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Finding the Fourth Proportional to 32,216.27, 48,343.24 and 13,494.72

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Solution

The fourth proportional to 32,216.27, 48,343.24 and 13,494.72 is: 20,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,216.27 : 48,343.24 = 13,494.72 : x
  2. Step 2: Convert to fraction form
    32,216.27/48,343.24 = 13,494.72/x
  3. Step 3: Cross multiply
    32,216.27x = 48,343.24 × 13,494.72
  4. Step 4: Simplify right side
    32,216.27x = 652,378,178.50
  5. Step 5: Solve for x
    x = 652,378,178.50/32,216.27
  6. Step 6: Final answer
    x = 20,249.96

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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.