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Finding the Fourth Proportional to 49,672, 74,540.84 and 23,384.26

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Solution

The fourth proportional to 49,672, 74,540.84 and 23,384.26 is: 35,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,672 : 74,540.84 = 23,384.26 : x
  2. Step 2: Convert to fraction form
    49,672/74,540.84 = 23,384.26/x
  3. Step 3: Cross multiply
    49,672x = 74,540.84 × 23,384.26
  4. Step 4: Simplify right side
    49,672x = 1,743,082,383.18
  5. Step 5: Solve for x
    x = 1,743,082,383.18/49,672
  6. Step 6: Final answer
    x = 35,091.85

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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.