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Finding the Fourth Proportional to 34,380.56, 51,571.55 and 11,006.93

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Solution

The fourth proportional to 34,380.56, 51,571.55 and 11,006.93 is: 16,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,380.56 : 51,571.55 = 11,006.93 : x
  2. Step 2: Convert to fraction form
    34,380.56/51,571.55 = 11,006.93/x
  3. Step 3: Cross multiply
    34,380.56x = 51,571.55 × 11,006.93
  4. Step 4: Simplify right side
    34,380.56x = 567,644,210.50
  5. Step 5: Solve for x
    x = 567,644,210.50/34,380.56
  6. Step 6: Final answer
    x = 16,510.62

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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.