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Finding the Fourth Proportional to 34,009.70, 51,014.49 and 9,049.75

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Solution

The fourth proportional to 34,009.70, 51,014.49 and 9,049.75 is: 13,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.70 : 51,014.49 = 9,049.75 : x
  2. Step 2: Convert to fraction form
    34,009.70/51,014.49 = 9,049.75/x
  3. Step 3: Cross multiply
    34,009.70x = 51,014.49 × 9,049.75
  4. Step 4: Simplify right side
    34,009.70x = 461,668,335.63
  5. Step 5: Solve for x
    x = 461,668,335.63/34,009.70
  6. Step 6: Final answer
    x = 13,574.61

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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.