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Finding the Fourth Proportional to 82,817.66, 124,066.10 and 49,563.92

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Solution

The fourth proportional to 82,817.66, 124,066.10 and 49,563.92 is: 74,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,817.66 : 124,066.10 = 49,563.92 : x
  2. Step 2: Convert to fraction form
    82,817.66/124,066.10 = 49,563.92/x
  3. Step 3: Cross multiply
    82,817.66x = 124,066.10 × 49,563.92
  4. Step 4: Simplify right side
    82,817.66x = 6,149,202,255.11
  5. Step 5: Solve for x
    x = 6,149,202,255.11/82,817.66
  6. Step 6: Final answer
    x = 74,249.89

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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.