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Finding the Fourth Proportional to 83,406.54, 115,102.68 and 45,680.78

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Solution

The fourth proportional to 83,406.54, 115,102.68 and 45,680.78 is: 63,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.54 : 115,102.68 = 45,680.78 : x
  2. Step 2: Convert to fraction form
    83,406.54/115,102.68 = 45,680.78/x
  3. Step 3: Cross multiply
    83,406.54x = 115,102.68 × 45,680.78
  4. Step 4: Simplify right side
    83,406.54x = 5,257,980,202.49
  5. Step 5: Solve for x
    x = 5,257,980,202.49/83,406.54
  6. Step 6: Final answer
    x = 63,040.38

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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.