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Finding the Fourth Proportional to 183,676.16, 275,477.72 and 50,522

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Solution

The fourth proportional to 183,676.16, 275,477.72 and 50,522 is: 75,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,676.16 : 275,477.72 = 50,522 : x
  2. Step 2: Convert to fraction form
    183,676.16/275,477.72 = 50,522/x
  3. Step 3: Cross multiply
    183,676.16x = 275,477.72 × 50,522
  4. Step 4: Simplify right side
    183,676.16x = 13,917,685,369.84
  5. Step 5: Solve for x
    x = 13,917,685,369.84/183,676.16
  6. Step 6: Final answer
    x = 75,772.95

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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.