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Finding the Fourth Proportional to 32,001.38, 44,161.40 and 17,662.66

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Solution

The fourth proportional to 32,001.38, 44,161.40 and 17,662.66 is: 24,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001.38 : 44,161.40 = 17,662.66 : x
  2. Step 2: Convert to fraction form
    32,001.38/44,161.40 = 17,662.66/x
  3. Step 3: Cross multiply
    32,001.38x = 44,161.40 × 17,662.66
  4. Step 4: Simplify right side
    32,001.38x = 780,007,727.08
  5. Step 5: Solve for x
    x = 780,007,727.08/32,001.38
  6. Step 6: Final answer
    x = 24,374.19

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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.