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Finding the Fourth Proportional to 92,273.24, 138,322.38 and 29,900

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Solution

The fourth proportional to 92,273.24, 138,322.38 and 29,900 is: 44,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,273.24 : 138,322.38 = 29,900 : x
  2. Step 2: Convert to fraction form
    92,273.24/138,322.38 = 29,900/x
  3. Step 3: Cross multiply
    92,273.24x = 138,322.38 × 29,900
  4. Step 4: Simplify right side
    92,273.24x = 4,135,839,162
  5. Step 5: Solve for x
    x = 4,135,839,162/92,273.24
  6. Step 6: Final answer
    x = 44,821.65

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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.