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Finding the Fourth Proportional to 41,577, 62,365.50 and 16,628.28

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Solution

The fourth proportional to 41,577, 62,365.50 and 16,628.28 is: 24,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,577 : 62,365.50 = 16,628.28 : x
  2. Step 2: Convert to fraction form
    41,577/62,365.50 = 16,628.28/x
  3. Step 3: Cross multiply
    41,577x = 62,365.50 × 16,628.28
  4. Step 4: Simplify right side
    41,577x = 1,037,030,996.34
  5. Step 5: Solve for x
    x = 1,037,030,996.34/41,577
  6. Step 6: Final answer
    x = 24,942.42

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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.