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Finding the Fourth Proportional to 122,983.92, 184,466.70 and 33,019.20

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Solution

The fourth proportional to 122,983.92, 184,466.70 and 33,019.20 is: 49,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,983.92 : 184,466.70 = 33,019.20 : x
  2. Step 2: Convert to fraction form
    122,983.92/184,466.70 = 33,019.20/x
  3. Step 3: Cross multiply
    122,983.92x = 184,466.70 × 33,019.20
  4. Step 4: Simplify right side
    122,983.92x = 6,090,942,860.64
  5. Step 5: Solve for x
    x = 6,090,942,860.64/122,983.92
  6. Step 6: Final answer
    x = 49,526.34

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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.