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Finding the Fourth Proportional to 80,522.64, 111,124.44 and 46,530

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Solution

The fourth proportional to 80,522.64, 111,124.44 and 46,530 is: 64,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,522.64 : 111,124.44 = 46,530 : x
  2. Step 2: Convert to fraction form
    80,522.64/111,124.44 = 46,530/x
  3. Step 3: Cross multiply
    80,522.64x = 111,124.44 × 46,530
  4. Step 4: Simplify right side
    80,522.64x = 5,170,620,193.20
  5. Step 5: Solve for x
    x = 5,170,620,193.20/80,522.64
  6. Step 6: Final answer
    x = 64,213.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.