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Finding the Fourth Proportional to 82,146.46, 123,219.72 and 34,749.26

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Solution

The fourth proportional to 82,146.46, 123,219.72 and 34,749.26 is: 52,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,146.46 : 123,219.72 = 34,749.26 : x
  2. Step 2: Convert to fraction form
    82,146.46/123,219.72 = 34,749.26/x
  3. Step 3: Cross multiply
    82,146.46x = 123,219.72 × 34,749.26
  4. Step 4: Simplify right side
    82,146.46x = 4,281,794,087.41
  5. Step 5: Solve for x
    x = 4,281,794,087.41/82,146.46
  6. Step 6: Final answer
    x = 52,123.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.