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Finding the Fourth Proportional to 34,757.30, 47,965.32 and 18,842

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Solution

The fourth proportional to 34,757.30, 47,965.32 and 18,842 is: 26,002.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,757.30 : 47,965.32 = 18,842 : x
  2. Step 2: Convert to fraction form
    34,757.30/47,965.32 = 18,842/x
  3. Step 3: Cross multiply
    34,757.30x = 47,965.32 × 18,842
  4. Step 4: Simplify right side
    34,757.30x = 903,762,559.44
  5. Step 5: Solve for x
    x = 903,762,559.44/34,757.30
  6. Step 6: Final answer
    x = 26,002.09

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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.