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Finding the Fourth Proportional to 82,651.32, 123,958.35 and 23,485.68

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Solution

The fourth proportional to 82,651.32, 123,958.35 and 23,485.68 is: 35,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,651.32 : 123,958.35 = 23,485.68 : x
  2. Step 2: Convert to fraction form
    82,651.32/123,958.35 = 23,485.68/x
  3. Step 3: Cross multiply
    82,651.32x = 123,958.35 × 23,485.68
  4. Step 4: Simplify right side
    82,651.32x = 2,911,246,141.43
  5. Step 5: Solve for x
    x = 2,911,246,141.43/82,651.32
  6. Step 6: Final answer
    x = 35,223.23

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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.