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Finding the Fourth Proportional to 82,422, 123,621.93 and 23,262.42

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Solution

The fourth proportional to 82,422, 123,621.93 and 23,262.42 is: 34,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422 : 123,621.93 = 23,262.42 : x
  2. Step 2: Convert to fraction form
    82,422/123,621.93 = 23,262.42/x
  3. Step 3: Cross multiply
    82,422x = 123,621.93 × 23,262.42
  4. Step 4: Simplify right side
    82,422x = 2,875,745,256.87
  5. Step 5: Solve for x
    x = 2,875,745,256.87/82,422
  6. Step 6: Final answer
    x = 34,890.51

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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.