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Finding the Fourth Proportional to 94,540.78, 130,469.01 and 52,102.05

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Solution

The fourth proportional to 94,540.78, 130,469.01 and 52,102.05 is: 71,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540.78 : 130,469.01 = 52,102.05 : x
  2. Step 2: Convert to fraction form
    94,540.78/130,469.01 = 52,102.05/x
  3. Step 3: Cross multiply
    94,540.78x = 130,469.01 × 52,102.05
  4. Step 4: Simplify right side
    94,540.78x = 6,797,702,490.90
  5. Step 5: Solve for x
    x = 6,797,702,490.90/94,540.78
  6. Step 6: Final answer
    x = 71,902.33

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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.