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Finding the Fourth Proportional to 32,126, 44,361.24 and 20,209.28

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Solution

The fourth proportional to 32,126, 44,361.24 and 20,209.28 is: 27,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126 : 44,361.24 = 20,209.28 : x
  2. Step 2: Convert to fraction form
    32,126/44,361.24 = 20,209.28/x
  3. Step 3: Cross multiply
    32,126x = 44,361.24 × 20,209.28
  4. Step 4: Simplify right side
    32,126x = 896,508,720.31
  5. Step 5: Solve for x
    x = 896,508,720.31/32,126
  6. Step 6: Final answer
    x = 27,906.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.