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Finding the Fourth Proportional to 34,932.46, 48,199.32 and 20,782.54

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Solution

The fourth proportional to 34,932.46, 48,199.32 and 20,782.54 is: 28,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,932.46 : 48,199.32 = 20,782.54 : x
  2. Step 2: Convert to fraction form
    34,932.46/48,199.32 = 20,782.54/x
  3. Step 3: Cross multiply
    34,932.46x = 48,199.32 × 20,782.54
  4. Step 4: Simplify right side
    34,932.46x = 1,001,704,295.87
  5. Step 5: Solve for x
    x = 1,001,704,295.87/34,932.46
  6. Step 6: Final answer
    x = 28,675.46

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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.