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Finding the Fourth Proportional to 82,450.08, 123,677.28 and 23,292

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Solution

The fourth proportional to 82,450.08, 123,677.28 and 23,292 is: 34,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,450.08 : 123,677.28 = 23,292 : x
  2. Step 2: Convert to fraction form
    82,450.08/123,677.28 = 23,292/x
  3. Step 3: Cross multiply
    82,450.08x = 123,677.28 × 23,292
  4. Step 4: Simplify right side
    82,450.08x = 2,880,691,205.76
  5. Step 5: Solve for x
    x = 2,880,691,205.76/82,450.08
  6. Step 6: Final answer
    x = 34,938.61

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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.