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Finding the Fourth Proportional to 82,873.35, 124,418.43 and 49,200.84

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Solution

The fourth proportional to 82,873.35, 124,418.43 and 49,200.84 is: 73,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.35 : 124,418.43 = 49,200.84 : x
  2. Step 2: Convert to fraction form
    82,873.35/124,418.43 = 49,200.84/x
  3. Step 3: Cross multiply
    82,873.35x = 124,418.43 × 49,200.84
  4. Step 4: Simplify right side
    82,873.35x = 6,121,491,267.48
  5. Step 5: Solve for x
    x = 6,121,491,267.48/82,873.35
  6. Step 6: Final answer
    x = 73,865.62

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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.