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Finding the Fourth Proportional to 82,464.93, 123,705.50 and 23,301.06

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Solution

The fourth proportional to 82,464.93, 123,705.50 and 23,301.06 is: 34,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464.93 : 123,705.50 = 23,301.06 : x
  2. Step 2: Convert to fraction form
    82,464.93/123,705.50 = 23,301.06/x
  3. Step 3: Cross multiply
    82,464.93x = 123,705.50 × 23,301.06
  4. Step 4: Simplify right side
    82,464.93x = 2,882,469,161.32
  5. Step 5: Solve for x
    x = 2,882,469,161.32/82,464.93
  6. Step 6: Final answer
    x = 34,953.88

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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.