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Finding the Fourth Proportional to 122,659.02, 184,059.42 and 51,576

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Solution

The fourth proportional to 122,659.02, 184,059.42 and 51,576 is: 77,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,659.02 : 184,059.42 = 51,576 : x
  2. Step 2: Convert to fraction form
    122,659.02/184,059.42 = 51,576/x
  3. Step 3: Cross multiply
    122,659.02x = 184,059.42 × 51,576
  4. Step 4: Simplify right side
    122,659.02x = 9,493,048,645.92
  5. Step 5: Solve for x
    x = 9,493,048,645.92/122,659.02
  6. Step 6: Final answer
    x = 77,393.81

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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.