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Finding the Fourth Proportional to 41,082.63, 56,702.79 and 25,965.63

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Solution

The fourth proportional to 41,082.63, 56,702.79 and 25,965.63 is: 35,838.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082.63 : 56,702.79 = 25,965.63 : x
  2. Step 2: Convert to fraction form
    41,082.63/56,702.79 = 25,965.63/x
  3. Step 3: Cross multiply
    41,082.63x = 56,702.79 × 25,965.63
  4. Step 4: Simplify right side
    41,082.63x = 1,472,323,665.11
  5. Step 5: Solve for x
    x = 1,472,323,665.11/41,082.63
  6. Step 6: Final answer
    x = 35,838.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.