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Finding the Fourth Proportional to 34,782.96, 47,999.52 and 20,635.50

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Solution

The fourth proportional to 34,782.96, 47,999.52 and 20,635.50 is: 28,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.96 : 47,999.52 = 20,635.50 : x
  2. Step 2: Convert to fraction form
    34,782.96/47,999.52 = 20,635.50/x
  3. Step 3: Cross multiply
    34,782.96x = 47,999.52 × 20,635.50
  4. Step 4: Simplify right side
    34,782.96x = 990,494,094.96
  5. Step 5: Solve for x
    x = 990,494,094.96/34,782.96
  6. Step 6: Final answer
    x = 28,476.42

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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.