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Finding the Fourth Proportional to 34,571.21, 51,856.81 and 11,199.47

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Solution

The fourth proportional to 34,571.21, 51,856.81 and 11,199.47 is: 16,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,571.21 : 51,856.81 = 11,199.47 : x
  2. Step 2: Convert to fraction form
    34,571.21/51,856.81 = 11,199.47/x
  3. Step 3: Cross multiply
    34,571.21x = 51,856.81 × 11,199.47
  4. Step 4: Simplify right side
    34,571.21x = 580,768,500.61
  5. Step 5: Solve for x
    x = 580,768,500.61/34,571.21
  6. Step 6: Final answer
    x = 16,799.20

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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.