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Finding the Fourth Proportional to 41,133.42, 61,709.85 and 21,407.49

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Solution

The fourth proportional to 41,133.42, 61,709.85 and 21,407.49 is: 32,116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,133.42 : 61,709.85 = 21,407.49 : x
  2. Step 2: Convert to fraction form
    41,133.42/61,709.85 = 21,407.49/x
  3. Step 3: Cross multiply
    41,133.42x = 61,709.85 × 21,407.49
  4. Step 4: Simplify right side
    41,133.42x = 1,321,052,996.78
  5. Step 5: Solve for x
    x = 1,321,052,996.78/41,133.42
  6. Step 6: Final answer
    x = 32,116.29

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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.