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Finding the Fourth Proportional to 32,161.39, 44,382.06 and 17,821.10

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Solution

The fourth proportional to 32,161.39, 44,382.06 and 17,821.10 is: 24,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161.39 : 44,382.06 = 17,821.10 : x
  2. Step 2: Convert to fraction form
    32,161.39/44,382.06 = 17,821.10/x
  3. Step 3: Cross multiply
    32,161.39x = 44,382.06 × 17,821.10
  4. Step 4: Simplify right side
    32,161.39x = 790,937,178.01
  5. Step 5: Solve for x
    x = 790,937,178.01/32,161.39
  6. Step 6: Final answer
    x = 24,592.75

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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.