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Finding the Fourth Proportional to 29,824.56, 44,704.02 and 12,284.82

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Solution

The fourth proportional to 29,824.56, 44,704.02 and 12,284.82 is: 18,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,824.56 : 44,704.02 = 12,284.82 : x
  2. Step 2: Convert to fraction form
    29,824.56/44,704.02 = 12,284.82/x
  3. Step 3: Cross multiply
    29,824.56x = 44,704.02 × 12,284.82
  4. Step 4: Simplify right side
    29,824.56x = 549,180,838.98
  5. Step 5: Solve for x
    x = 549,180,838.98/29,824.56
  6. Step 6: Final answer
    x = 18,413.71

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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.