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Finding the Fourth Proportional to 32,811.36, 49,217.44 and 9,438

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Solution

The fourth proportional to 32,811.36, 49,217.44 and 9,438 is: 14,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,811.36 : 49,217.44 = 9,438 : x
  2. Step 2: Convert to fraction form
    32,811.36/49,217.44 = 9,438/x
  3. Step 3: Cross multiply
    32,811.36x = 49,217.44 × 9,438
  4. Step 4: Simplify right side
    32,811.36x = 464,514,198.72
  5. Step 5: Solve for x
    x = 464,514,198.72/32,811.36
  6. Step 6: Final answer
    x = 14,157.12

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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.