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Finding the Fourth Proportional to 34,657.12, 51,990 and 11,277.28

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Solution

The fourth proportional to 34,657.12, 51,990 and 11,277.28 is: 16,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.12 : 51,990 = 11,277.28 : x
  2. Step 2: Convert to fraction form
    34,657.12/51,990 = 11,277.28/x
  3. Step 3: Cross multiply
    34,657.12x = 51,990 × 11,277.28
  4. Step 4: Simplify right side
    34,657.12x = 586,305,787.20
  5. Step 5: Solve for x
    x = 586,305,787.20/34,657.12
  6. Step 6: Final answer
    x = 16,917.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.