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Finding the Fourth Proportional to 50,113.88, 75,170.82 and 13,175

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Solution

The fourth proportional to 50,113.88, 75,170.82 and 13,175 is: 19,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,113.88 : 75,170.82 = 13,175 : x
  2. Step 2: Convert to fraction form
    50,113.88/75,170.82 = 13,175/x
  3. Step 3: Cross multiply
    50,113.88x = 75,170.82 × 13,175
  4. Step 4: Simplify right side
    50,113.88x = 990,375,553.50
  5. Step 5: Solve for x
    x = 990,375,553.50/50,113.88
  6. Step 6: Final answer
    x = 19,762.50

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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.