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Finding the Fourth Proportional to 34,190.10, 51,280.02 and 10,813.50

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Solution

The fourth proportional to 34,190.10, 51,280.02 and 10,813.50 is: 16,218.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,190.10 : 51,280.02 = 10,813.50 : x
  2. Step 2: Convert to fraction form
    34,190.10/51,280.02 = 10,813.50/x
  3. Step 3: Cross multiply
    34,190.10x = 51,280.02 × 10,813.50
  4. Step 4: Simplify right side
    34,190.10x = 554,516,496.27
  5. Step 5: Solve for x
    x = 554,516,496.27/34,190.10
  6. Step 6: Final answer
    x = 16,218.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.