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Finding the Fourth Proportional to 34,098.17, 51,147.26 and 10,405.84

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Solution

The fourth proportional to 34,098.17, 51,147.26 and 10,405.84 is: 15,608.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098.17 : 51,147.26 = 10,405.84 : x
  2. Step 2: Convert to fraction form
    34,098.17/51,147.26 = 10,405.84/x
  3. Step 3: Cross multiply
    34,098.17x = 51,147.26 × 10,405.84
  4. Step 4: Simplify right side
    34,098.17x = 532,230,204.00
  5. Step 5: Solve for x
    x = 532,230,204.00/34,098.17
  6. Step 6: Final answer
    x = 15,608.76

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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.