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Finding the Fourth Proportional to 52,732.32, 72,769.92 and 28,858.56

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Solution

The fourth proportional to 52,732.32, 72,769.92 and 28,858.56 is: 39,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,732.32 : 72,769.92 = 28,858.56 : x
  2. Step 2: Convert to fraction form
    52,732.32/72,769.92 = 28,858.56/x
  3. Step 3: Cross multiply
    52,732.32x = 72,769.92 × 28,858.56
  4. Step 4: Simplify right side
    52,732.32x = 2,100,035,102.52
  5. Step 5: Solve for x
    x = 2,100,035,102.52/52,732.32
  6. Step 6: Final answer
    x = 39,824.44

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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.