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Finding the Fourth Proportional to 122,335.56, 183,503 and 33,589.16

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Solution

The fourth proportional to 122,335.56, 183,503 and 33,589.16 is: 50,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,335.56 : 183,503 = 33,589.16 : x
  2. Step 2: Convert to fraction form
    122,335.56/183,503 = 33,589.16/x
  3. Step 3: Cross multiply
    122,335.56x = 183,503 × 33,589.16
  4. Step 4: Simplify right side
    122,335.56x = 6,163,711,627.48
  5. Step 5: Solve for x
    x = 6,163,711,627.48/122,335.56
  6. Step 6: Final answer
    x = 50,383.65

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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.