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Finding the Fourth Proportional to 122,599.82, 183,921.60 and 47,760.68

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Solution

The fourth proportional to 122,599.82, 183,921.60 and 47,760.68 is: 71,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,599.82 : 183,921.60 = 47,760.68 : x
  2. Step 2: Convert to fraction form
    122,599.82/183,921.60 = 47,760.68/x
  3. Step 3: Cross multiply
    122,599.82x = 183,921.60 × 47,760.68
  4. Step 4: Simplify right side
    122,599.82x = 8,784,220,682.69
  5. Step 5: Solve for x
    x = 8,784,220,682.69/122,599.82
  6. Step 6: Final answer
    x = 71,649.54

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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.