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Finding the Fourth Proportional to 82,358.37, 123,538.37 and 23,195.16

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Solution

The fourth proportional to 82,358.37, 123,538.37 and 23,195.16 is: 34,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358.37 : 123,538.37 = 23,195.16 : x
  2. Step 2: Convert to fraction form
    82,358.37/123,538.37 = 23,195.16/x
  3. Step 3: Cross multiply
    82,358.37x = 123,538.37 × 23,195.16
  4. Step 4: Simplify right side
    82,358.37x = 2,865,492,142.31
  5. Step 5: Solve for x
    x = 2,865,492,142.31/82,358.37
  6. Step 6: Final answer
    x = 34,792.97

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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.