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Finding the Fourth Proportional to 42,175.50, 63,274.19 and 12,593.34

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Solution

The fourth proportional to 42,175.50, 63,274.19 and 12,593.34 is: 18,893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,175.50 : 63,274.19 = 12,593.34 : x
  2. Step 2: Convert to fraction form
    42,175.50/63,274.19 = 12,593.34/x
  3. Step 3: Cross multiply
    42,175.50x = 63,274.19 × 12,593.34
  4. Step 4: Simplify right side
    42,175.50x = 796,833,324.93
  5. Step 5: Solve for x
    x = 796,833,324.93/42,175.50
  6. Step 6: Final answer
    x = 18,893.28

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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.