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Finding the Fourth Proportional to 34,161.60, 47,125.08 and 27,795.31

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Solution

The fourth proportional to 34,161.60, 47,125.08 and 27,795.31 is: 38,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,161.60 : 47,125.08 = 27,795.31 : x
  2. Step 2: Convert to fraction form
    34,161.60/47,125.08 = 27,795.31/x
  3. Step 3: Cross multiply
    34,161.60x = 47,125.08 × 27,795.31
  4. Step 4: Simplify right side
    34,161.60x = 1,309,856,207.37
  5. Step 5: Solve for x
    x = 1,309,856,207.37/34,161.60
  6. Step 6: Final answer
    x = 38,342.94

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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.