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Finding the Fourth Proportional to 82,059.06, 113,229.05 and 46,248.46

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Solution

The fourth proportional to 82,059.06, 113,229.05 and 46,248.46 is: 63,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,059.06 : 113,229.05 = 46,248.46 : x
  2. Step 2: Convert to fraction form
    82,059.06/113,229.05 = 46,248.46/x
  3. Step 3: Cross multiply
    82,059.06x = 113,229.05 × 46,248.46
  4. Step 4: Simplify right side
    82,059.06x = 5,236,669,189.76
  5. Step 5: Solve for x
    x = 5,236,669,189.76/82,059.06
  6. Step 6: Final answer
    x = 63,815.86

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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.