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Finding the Fourth Proportional to 34,009.20, 51,013.74 and 9,049.25

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Solution

The fourth proportional to 34,009.20, 51,013.74 and 9,049.25 is: 13,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.20 : 51,013.74 = 9,049.25 : x
  2. Step 2: Convert to fraction form
    34,009.20/51,013.74 = 9,049.25/x
  3. Step 3: Cross multiply
    34,009.20x = 51,013.74 × 9,049.25
  4. Step 4: Simplify right side
    34,009.20x = 461,636,041.45
  5. Step 5: Solve for x
    x = 461,636,041.45/34,009.20
  6. Step 6: Final answer
    x = 13,573.86

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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.