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Finding the Fourth Proportional to 52,110.74, 71,912.64 and 28,238

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Solution

The fourth proportional to 52,110.74, 71,912.64 and 28,238 is: 38,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110.74 : 71,912.64 = 28,238 : x
  2. Step 2: Convert to fraction form
    52,110.74/71,912.64 = 28,238/x
  3. Step 3: Cross multiply
    52,110.74x = 71,912.64 × 28,238
  4. Step 4: Simplify right side
    52,110.74x = 2,030,669,128.32
  5. Step 5: Solve for x
    x = 2,030,669,128.32/52,110.74
  6. Step 6: Final answer
    x = 38,968.34

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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.