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Finding the Fourth Proportional to 34,616, 51,931.84 and 10,923.36

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Solution

The fourth proportional to 34,616, 51,931.84 and 10,923.36 is: 16,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616 : 51,931.84 = 10,923.36 : x
  2. Step 2: Convert to fraction form
    34,616/51,931.84 = 10,923.36/x
  3. Step 3: Cross multiply
    34,616x = 51,931.84 × 10,923.36
  4. Step 4: Simplify right side
    34,616x = 567,270,183.78
  5. Step 5: Solve for x
    x = 567,270,183.78/34,616
  6. Step 6: Final answer
    x = 16,387.51

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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.