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Finding the Fourth Proportional to 32,958.44, 49,402.80 and 10,765.88

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Solution

The fourth proportional to 32,958.44, 49,402.80 and 10,765.88 is: 16,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.44 : 49,402.80 = 10,765.88 : x
  2. Step 2: Convert to fraction form
    32,958.44/49,402.80 = 10,765.88/x
  3. Step 3: Cross multiply
    32,958.44x = 49,402.80 × 10,765.88
  4. Step 4: Simplify right side
    32,958.44x = 531,864,616.46
  5. Step 5: Solve for x
    x = 531,864,616.46/32,958.44
  6. Step 6: Final answer
    x = 16,137.43

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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.