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Finding the Fourth Proportional to 50,074.80, 75,150 and 34,242

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Solution

The fourth proportional to 50,074.80, 75,150 and 34,242 is: 51,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,074.80 : 75,150 = 34,242 : x
  2. Step 2: Convert to fraction form
    50,074.80/75,150 = 34,242/x
  3. Step 3: Cross multiply
    50,074.80x = 75,150 × 34,242
  4. Step 4: Simplify right side
    50,074.80x = 2,573,286,300
  5. Step 5: Solve for x
    x = 2,573,286,300/50,074.80
  6. Step 6: Final answer
    x = 51,388.85

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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.