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Finding the Fourth Proportional to 34,612.47, 51,923.72 and 10,912

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Solution

The fourth proportional to 34,612.47, 51,923.72 and 10,912 is: 16,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,612.47 : 51,923.72 = 10,912 : x
  2. Step 2: Convert to fraction form
    34,612.47/51,923.72 = 10,912/x
  3. Step 3: Cross multiply
    34,612.47x = 51,923.72 × 10,912
  4. Step 4: Simplify right side
    34,612.47x = 566,591,632.64
  5. Step 5: Solve for x
    x = 566,591,632.64/34,612.47
  6. Step 6: Final answer
    x = 16,369.58

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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.