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Finding the Fourth Proportional to 122,385.20, 183,582.32 and 33,645.64

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Solution

The fourth proportional to 122,385.20, 183,582.32 and 33,645.64 is: 50,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,385.20 : 183,582.32 = 33,645.64 : x
  2. Step 2: Convert to fraction form
    122,385.20/183,582.32 = 33,645.64/x
  3. Step 3: Cross multiply
    122,385.20x = 183,582.32 × 33,645.64
  4. Step 4: Simplify right side
    122,385.20x = 6,176,744,649.08
  5. Step 5: Solve for x
    x = 6,176,744,649.08/122,385.20
  6. Step 6: Final answer
    x = 50,469.70

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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.