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Finding the Fourth Proportional to 32,912.66, 49,361.36 and 9,221.87

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Solution

The fourth proportional to 32,912.66, 49,361.36 and 9,221.87 is: 13,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.66 : 49,361.36 = 9,221.87 : x
  2. Step 2: Convert to fraction form
    32,912.66/49,361.36 = 9,221.87/x
  3. Step 3: Cross multiply
    32,912.66x = 49,361.36 × 9,221.87
  4. Step 4: Simplify right side
    32,912.66x = 455,203,752.03
  5. Step 5: Solve for x
    x = 455,203,752.03/32,912.66
  6. Step 6: Final answer
    x = 13,830.66

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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.