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Finding the Fourth Proportional to 32,889.86, 49,334.68 and 11,829.87

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Solution

The fourth proportional to 32,889.86, 49,334.68 and 11,829.87 is: 17,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889.86 : 49,334.68 = 11,829.87 : x
  2. Step 2: Convert to fraction form
    32,889.86/49,334.68 = 11,829.87/x
  3. Step 3: Cross multiply
    32,889.86x = 49,334.68 × 11,829.87
  4. Step 4: Simplify right side
    32,889.86x = 583,622,865.68
  5. Step 5: Solve for x
    x = 583,622,865.68/32,889.86
  6. Step 6: Final answer
    x = 17,744.76

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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.