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Finding the Fourth Proportional to 52,106.49, 71,906.74 and 28,233.26

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Solution

The fourth proportional to 52,106.49, 71,906.74 and 28,233.26 is: 38,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.49 : 71,906.74 = 28,233.26 : x
  2. Step 2: Convert to fraction form
    52,106.49/71,906.74 = 28,233.26/x
  3. Step 3: Cross multiply
    52,106.49x = 71,906.74 × 28,233.26
  4. Step 4: Simplify right side
    52,106.49x = 2,030,161,525.71
  5. Step 5: Solve for x
    x = 2,030,161,525.71/52,106.49
  6. Step 6: Final answer
    x = 38,961.78

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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.