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Finding the Fourth Proportional to 47,902.60, 66,105.60 and 27,771.15

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Solution

The fourth proportional to 47,902.60, 66,105.60 and 27,771.15 is: 38,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902.60 : 66,105.60 = 27,771.15 : x
  2. Step 2: Convert to fraction form
    47,902.60/66,105.60 = 27,771.15/x
  3. Step 3: Cross multiply
    47,902.60x = 66,105.60 × 27,771.15
  4. Step 4: Simplify right side
    47,902.60x = 1,835,828,533.44
  5. Step 5: Solve for x
    x = 1,835,828,533.44/47,902.60
  6. Step 6: Final answer
    x = 38,324.19

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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.