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Finding the Fourth Proportional to 83,796.49, 125,655.13 and 30,451.31

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Solution

The fourth proportional to 83,796.49, 125,655.13 and 30,451.31 is: 45,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,796.49 : 125,655.13 = 30,451.31 : x
  2. Step 2: Convert to fraction form
    83,796.49/125,655.13 = 30,451.31/x
  3. Step 3: Cross multiply
    83,796.49x = 125,655.13 × 30,451.31
  4. Step 4: Simplify right side
    83,796.49x = 3,826,363,316.72
  5. Step 5: Solve for x
    x = 3,826,363,316.72/83,796.49
  6. Step 6: Final answer
    x = 45,662.57

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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.