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Finding the Fourth Proportional to 32,007.96, 44,170.38 and 17,669.21

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Solution

The fourth proportional to 32,007.96, 44,170.38 and 17,669.21 is: 24,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.96 : 44,170.38 = 17,669.21 : x
  2. Step 2: Convert to fraction form
    32,007.96/44,170.38 = 17,669.21/x
  3. Step 3: Cross multiply
    32,007.96x = 44,170.38 × 17,669.21
  4. Step 4: Simplify right side
    32,007.96x = 780,455,499.15
  5. Step 5: Solve for x
    x = 780,455,499.15/32,007.96
  6. Step 6: Final answer
    x = 24,383.17

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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.