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Finding the Fourth Proportional to 34,747.16, 47,950.96 and 18,832

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Solution

The fourth proportional to 34,747.16, 47,950.96 and 18,832 is: 25,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,747.16 : 47,950.96 = 18,832 : x
  2. Step 2: Convert to fraction form
    34,747.16/47,950.96 = 18,832/x
  3. Step 3: Cross multiply
    34,747.16x = 47,950.96 × 18,832
  4. Step 4: Simplify right side
    34,747.16x = 903,012,478.72
  5. Step 5: Solve for x
    x = 903,012,478.72/34,747.16
  6. Step 6: Final answer
    x = 25,988.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.