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Finding the Fourth Proportional to 34,306.16, 47,349.24 and 21,722

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Solution

The fourth proportional to 34,306.16, 47,349.24 and 21,722 is: 29,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,306.16 : 47,349.24 = 21,722 : x
  2. Step 2: Convert to fraction form
    34,306.16/47,349.24 = 21,722/x
  3. Step 3: Cross multiply
    34,306.16x = 47,349.24 × 21,722
  4. Step 4: Simplify right side
    34,306.16x = 1,028,520,191.28
  5. Step 5: Solve for x
    x = 1,028,520,191.28/34,306.16
  6. Step 6: Final answer
    x = 29,980.63

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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.