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Finding the Fourth Proportional to 52,765.82, 72,816.81 and 28,892.49

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Solution

The fourth proportional to 52,765.82, 72,816.81 and 28,892.49 is: 39,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,765.82 : 72,816.81 = 28,892.49 : x
  2. Step 2: Convert to fraction form
    52,765.82/72,816.81 = 28,892.49/x
  3. Step 3: Cross multiply
    52,765.82x = 72,816.81 × 28,892.49
  4. Step 4: Simplify right side
    52,765.82x = 2,103,858,954.76
  5. Step 5: Solve for x
    x = 2,103,858,954.76/52,765.82
  6. Step 6: Final answer
    x = 39,871.63

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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.