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Finding the Fourth Proportional to 52,133.41, 71,944.56 and 28,260.48

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Solution

The fourth proportional to 52,133.41, 71,944.56 and 28,260.48 is: 38,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,133.41 : 71,944.56 = 28,260.48 : x
  2. Step 2: Convert to fraction form
    52,133.41/71,944.56 = 28,260.48/x
  3. Step 3: Cross multiply
    52,133.41x = 71,944.56 × 28,260.48
  4. Step 4: Simplify right side
    52,133.41x = 2,033,187,657.69
  5. Step 5: Solve for x
    x = 2,033,187,657.69/52,133.41
  6. Step 6: Final answer
    x = 38,999.71

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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.