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Finding the Fourth Proportional to 33,086.58, 49,600.71 and 12,295.50

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Solution

The fourth proportional to 33,086.58, 49,600.71 and 12,295.50 is: 18,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086.58 : 49,600.71 = 12,295.50 : x
  2. Step 2: Convert to fraction form
    33,086.58/49,600.71 = 12,295.50/x
  3. Step 3: Cross multiply
    33,086.58x = 49,600.71 × 12,295.50
  4. Step 4: Simplify right side
    33,086.58x = 609,865,529.81
  5. Step 5: Solve for x
    x = 609,865,529.81/33,086.58
  6. Step 6: Final answer
    x = 18,432.41

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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.