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Finding the Fourth Proportional to 82,107.85, 113,316.68 and 51,485.82

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Solution

The fourth proportional to 82,107.85, 113,316.68 and 51,485.82 is: 71,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.85 : 113,316.68 = 51,485.82 : x
  2. Step 2: Convert to fraction form
    82,107.85/113,316.68 = 51,485.82/x
  3. Step 3: Cross multiply
    82,107.85x = 113,316.68 × 51,485.82
  4. Step 4: Simplify right side
    82,107.85x = 5,834,201,932.05
  5. Step 5: Solve for x
    x = 5,834,201,932.05/82,107.85
  6. Step 6: Final answer
    x = 71,055.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.