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Finding the Fourth Proportional to 83,806.88, 115,649.12 and 46,082.40

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Solution

The fourth proportional to 83,806.88, 115,649.12 and 46,082.40 is: 63,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,806.88 : 115,649.12 = 46,082.40 : x
  2. Step 2: Convert to fraction form
    83,806.88/115,649.12 = 46,082.40/x
  3. Step 3: Cross multiply
    83,806.88x = 115,649.12 × 46,082.40
  4. Step 4: Simplify right side
    83,806.88x = 5,329,389,007.49
  5. Step 5: Solve for x
    x = 5,329,389,007.49/83,806.88
  6. Step 6: Final answer
    x = 63,591.31

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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.