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Finding the Fourth Proportional to 82,505.68, 113,857.92 and 44,779.92

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Solution

The fourth proportional to 82,505.68, 113,857.92 and 44,779.92 is: 61,796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,505.68 : 113,857.92 = 44,779.92 : x
  2. Step 2: Convert to fraction form
    82,505.68/113,857.92 = 44,779.92/x
  3. Step 3: Cross multiply
    82,505.68x = 113,857.92 × 44,779.92
  4. Step 4: Simplify right side
    82,505.68x = 5,098,548,548.97
  5. Step 5: Solve for x
    x = 5,098,548,548.97/82,505.68
  6. Step 6: Final answer
    x = 61,796.33

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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.