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Finding the Fourth Proportional to 50,404.02, 75,618.49 and 20,830.32

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Solution

The fourth proportional to 50,404.02, 75,618.49 and 20,830.32 is: 31,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.02 : 75,618.49 = 20,830.32 : x
  2. Step 2: Convert to fraction form
    50,404.02/75,618.49 = 20,830.32/x
  3. Step 3: Cross multiply
    50,404.02x = 75,618.49 × 20,830.32
  4. Step 4: Simplify right side
    50,404.02x = 1,575,157,344.62
  5. Step 5: Solve for x
    x = 1,575,157,344.62/50,404.02
  6. Step 6: Final answer
    x = 31,250.63

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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.