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Finding the Fourth Proportional to 32,813.40, 49,218.38 and 9,438.92

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Solution

The fourth proportional to 32,813.40, 49,218.38 and 9,438.92 is: 14,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.40 : 49,218.38 = 9,438.92 : x
  2. Step 2: Convert to fraction form
    32,813.40/49,218.38 = 9,438.92/x
  3. Step 3: Cross multiply
    32,813.40x = 49,218.38 × 9,438.92
  4. Step 4: Simplify right side
    32,813.40x = 464,568,351.35
  5. Step 5: Solve for x
    x = 464,568,351.35/32,813.40
  6. Step 6: Final answer
    x = 14,157.89

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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.