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Finding the Fourth Proportional to 38,102.00, 57,105 and 27,011.48

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Solution

The fourth proportional to 38,102.00, 57,105 and 27,011.48 is: 40,483.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.00 : 57,105 = 27,011.48 : x
  2. Step 2: Convert to fraction form
    38,102.00/57,105 = 27,011.48/x
  3. Step 3: Cross multiply
    38,102.00x = 57,105 × 27,011.48
  4. Step 4: Simplify right side
    38,102.00x = 1,542,490,279.88
  5. Step 5: Solve for x
    x = 1,542,490,279.88/38,102.00
  6. Step 6: Final answer
    x = 40,483.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.