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Finding the Fourth Proportional to 34,540.70, 51,809.79 and 11,166.50

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Solution

The fourth proportional to 34,540.70, 51,809.79 and 11,166.50 is: 16,749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540.70 : 51,809.79 = 11,166.50 : x
  2. Step 2: Convert to fraction form
    34,540.70/51,809.79 = 11,166.50/x
  3. Step 3: Cross multiply
    34,540.70x = 51,809.79 × 11,166.50
  4. Step 4: Simplify right side
    34,540.70x = 578,534,020.04
  5. Step 5: Solve for x
    x = 578,534,020.04/34,540.70
  6. Step 6: Final answer
    x = 16,749.34

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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.