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Finding the Fourth Proportional to 82,500.34, 113,850.75 and 44,774.58

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Solution

The fourth proportional to 82,500.34, 113,850.75 and 44,774.58 is: 61,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,500.34 : 113,850.75 = 44,774.58 : x
  2. Step 2: Convert to fraction form
    82,500.34/113,850.75 = 44,774.58/x
  3. Step 3: Cross multiply
    82,500.34x = 113,850.75 × 44,774.58
  4. Step 4: Simplify right side
    82,500.34x = 5,097,619,513.94
  5. Step 5: Solve for x
    x = 5,097,619,513.94/82,500.34
  6. Step 6: Final answer
    x = 61,789.07

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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.