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Finding the Fourth Proportional to 183,578.10, 275,314.20 and 50,462.70

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Solution

The fourth proportional to 183,578.10, 275,314.20 and 50,462.70 is: 75,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,578.10 : 275,314.20 = 50,462.70 : x
  2. Step 2: Convert to fraction form
    183,578.10/275,314.20 = 50,462.70/x
  3. Step 3: Cross multiply
    183,578.10x = 275,314.20 × 50,462.70
  4. Step 4: Simplify right side
    183,578.10x = 13,893,097,880.34
  5. Step 5: Solve for x
    x = 13,893,097,880.34/183,578.10
  6. Step 6: Final answer
    x = 75,679.49

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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.