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Finding the Fourth Proportional to 41,130.27, 61,694.81 and 9,965.31

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Solution

The fourth proportional to 41,130.27, 61,694.81 and 9,965.31 is: 14,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.27 : 61,694.81 = 9,965.31 : x
  2. Step 2: Convert to fraction form
    41,130.27/61,694.81 = 9,965.31/x
  3. Step 3: Cross multiply
    41,130.27x = 61,694.81 × 9,965.31
  4. Step 4: Simplify right side
    41,130.27x = 614,807,857.21
  5. Step 5: Solve for x
    x = 614,807,857.21/41,130.27
  6. Step 6: Final answer
    x = 14,947.82

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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.