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Finding the Fourth Proportional to 34,755.30, 47,962.56 and 18,840

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Solution

The fourth proportional to 34,755.30, 47,962.56 and 18,840 is: 25,999.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,755.30 : 47,962.56 = 18,840 : x
  2. Step 2: Convert to fraction form
    34,755.30/47,962.56 = 18,840/x
  3. Step 3: Cross multiply
    34,755.30x = 47,962.56 × 18,840
  4. Step 4: Simplify right side
    34,755.30x = 903,614,630.40
  5. Step 5: Solve for x
    x = 903,614,630.40/34,755.30
  6. Step 6: Final answer
    x = 25,999.33

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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.