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Finding the Fourth Proportional to 122,711.72, 184,071.70 and 33,957.80

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Solution

The fourth proportional to 122,711.72, 184,071.70 and 33,957.80 is: 50,937.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,711.72 : 184,071.70 = 33,957.80 : x
  2. Step 2: Convert to fraction form
    122,711.72/184,071.70 = 33,957.80/x
  3. Step 3: Cross multiply
    122,711.72x = 184,071.70 × 33,957.80
  4. Step 4: Simplify right side
    122,711.72x = 6,250,669,974.26
  5. Step 5: Solve for x
    x = 6,250,669,974.26/122,711.72
  6. Step 6: Final answer
    x = 50,937.84

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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.