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Finding the Fourth Proportional to 38,304.54, 52,861.53 and 23,200.02

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Solution

The fourth proportional to 38,304.54, 52,861.53 and 23,200.02 is: 32,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304.54 : 52,861.53 = 23,200.02 : x
  2. Step 2: Convert to fraction form
    38,304.54/52,861.53 = 23,200.02/x
  3. Step 3: Cross multiply
    38,304.54x = 52,861.53 × 23,200.02
  4. Step 4: Simplify right side
    38,304.54x = 1,226,388,553.23
  5. Step 5: Solve for x
    x = 1,226,388,553.23/38,304.54
  6. Step 6: Final answer
    x = 32,016.79

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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.