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Finding the Fourth Proportional to 122,777.71, 184,167.92 and 34,031.97

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Solution

The fourth proportional to 122,777.71, 184,167.92 and 34,031.97 is: 51,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,777.71 : 184,167.92 = 34,031.97 : x
  2. Step 2: Convert to fraction form
    122,777.71/184,167.92 = 34,031.97/x
  3. Step 3: Cross multiply
    122,777.71x = 184,167.92 × 34,031.97
  4. Step 4: Simplify right side
    122,777.71x = 6,267,597,213.48
  5. Step 5: Solve for x
    x = 6,267,597,213.48/122,777.71
  6. Step 6: Final answer
    x = 51,048.33

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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.