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Finding the Fourth Proportional to 43,204, 59,621.52 and 23,332

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Solution

The fourth proportional to 43,204, 59,621.52 and 23,332 is: 32,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,204 : 59,621.52 = 23,332 : x
  2. Step 2: Convert to fraction form
    43,204/59,621.52 = 23,332/x
  3. Step 3: Cross multiply
    43,204x = 59,621.52 × 23,332
  4. Step 4: Simplify right side
    43,204x = 1,391,089,304.64
  5. Step 5: Solve for x
    x = 1,391,089,304.64/43,204
  6. Step 6: Final answer
    x = 32,198.16

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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.