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Finding the Fourth Proportional to 82,765.38, 114,206.92 and 48,771.66

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Solution

The fourth proportional to 82,765.38, 114,206.92 and 48,771.66 is: 67,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.38 : 114,206.92 = 48,771.66 : x
  2. Step 2: Convert to fraction form
    82,765.38/114,206.92 = 48,771.66/x
  3. Step 3: Cross multiply
    82,765.38x = 114,206.92 × 48,771.66
  4. Step 4: Simplify right side
    82,765.38x = 5,570,061,071.89
  5. Step 5: Solve for x
    x = 5,570,061,071.89/82,765.38
  6. Step 6: Final answer
    x = 67,299.41

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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.