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Finding the Fourth Proportional to 32,993.43, 49,485.23 and 10,807.63

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Solution

The fourth proportional to 32,993.43, 49,485.23 and 10,807.63 is: 16,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993.43 : 49,485.23 = 10,807.63 : x
  2. Step 2: Convert to fraction form
    32,993.43/49,485.23 = 10,807.63/x
  3. Step 3: Cross multiply
    32,993.43x = 49,485.23 × 10,807.63
  4. Step 4: Simplify right side
    32,993.43x = 534,817,919.08
  5. Step 5: Solve for x
    x = 534,817,919.08/32,993.43
  6. Step 6: Final answer
    x = 16,209.83

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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.