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Finding the Fourth Proportional to 34,539.38, 51,809.07 and 13,763.06

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Solution

The fourth proportional to 34,539.38, 51,809.07 and 13,763.06 is: 20,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,539.38 : 51,809.07 = 13,763.06 : x
  2. Step 2: Convert to fraction form
    34,539.38/51,809.07 = 13,763.06/x
  3. Step 3: Cross multiply
    34,539.38x = 51,809.07 × 13,763.06
  4. Step 4: Simplify right side
    34,539.38x = 713,051,338.95
  5. Step 5: Solve for x
    x = 713,051,338.95/34,539.38
  6. Step 6: Final answer
    x = 20,644.59

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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.