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Finding the Fourth Proportional to 32,332.84, 44,621.38 and 20,231.40

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Solution

The fourth proportional to 32,332.84, 44,621.38 and 20,231.40 is: 27,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,332.84 : 44,621.38 = 20,231.40 : x
  2. Step 2: Convert to fraction form
    32,332.84/44,621.38 = 20,231.40/x
  3. Step 3: Cross multiply
    32,332.84x = 44,621.38 × 20,231.40
  4. Step 4: Simplify right side
    32,332.84x = 902,752,987.33
  5. Step 5: Solve for x
    x = 902,752,987.33/32,332.84
  6. Step 6: Final answer
    x = 27,920.62

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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.