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Finding the Fourth Proportional to 47,270.10, 65,231.90 and 25,760.04

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Solution

The fourth proportional to 47,270.10, 65,231.90 and 25,760.04 is: 35,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270.10 : 65,231.90 = 25,760.04 : x
  2. Step 2: Convert to fraction form
    47,270.10/65,231.90 = 25,760.04/x
  3. Step 3: Cross multiply
    47,270.10x = 65,231.90 × 25,760.04
  4. Step 4: Simplify right side
    47,270.10x = 1,680,376,076.46
  5. Step 5: Solve for x
    x = 1,680,376,076.46/47,270.10
  6. Step 6: Final answer
    x = 35,548.39

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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.