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Finding the Fourth Proportional to 41,128.56, 61,692.84 and 9,963.81

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Solution

The fourth proportional to 41,128.56, 61,692.84 and 9,963.81 is: 14,945.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,128.56 : 61,692.84 = 9,963.81 : x
  2. Step 2: Convert to fraction form
    41,128.56/61,692.84 = 9,963.81/x
  3. Step 3: Cross multiply
    41,128.56x = 61,692.84 × 9,963.81
  4. Step 4: Simplify right side
    41,128.56x = 614,695,736.12
  5. Step 5: Solve for x
    x = 614,695,736.12/41,128.56
  6. Step 6: Final answer
    x = 14,945.72

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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.