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Finding the Fourth Proportional to 82,026.50, 123,051.63 and 25,847.60

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Solution

The fourth proportional to 82,026.50, 123,051.63 and 25,847.60 is: 38,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026.50 : 123,051.63 = 25,847.60 : x
  2. Step 2: Convert to fraction form
    82,026.50/123,051.63 = 25,847.60/x
  3. Step 3: Cross multiply
    82,026.50x = 123,051.63 × 25,847.60
  4. Step 4: Simplify right side
    82,026.50x = 3,180,589,311.59
  5. Step 5: Solve for x
    x = 3,180,589,311.59/82,026.50
  6. Step 6: Final answer
    x = 38,775.14

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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.