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Finding the Fourth Proportional to 82,664.74, 123,998.12 and 23,500.32

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Solution

The fourth proportional to 82,664.74, 123,998.12 and 23,500.32 is: 35,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,664.74 : 123,998.12 = 23,500.32 : x
  2. Step 2: Convert to fraction form
    82,664.74/123,998.12 = 23,500.32/x
  3. Step 3: Cross multiply
    82,664.74x = 123,998.12 × 23,500.32
  4. Step 4: Simplify right side
    82,664.74x = 2,913,995,499.40
  5. Step 5: Solve for x
    x = 2,913,995,499.40/82,664.74
  6. Step 6: Final answer
    x = 35,250.77

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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.