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Finding the Fourth Proportional to 52,770.65, 72,821.31 and 28,896.92

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Solution

The fourth proportional to 52,770.65, 72,821.31 and 28,896.92 is: 39,876.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,770.65 : 72,821.31 = 28,896.92 : x
  2. Step 2: Convert to fraction form
    52,770.65/72,821.31 = 28,896.92/x
  3. Step 3: Cross multiply
    52,770.65x = 72,821.31 × 28,896.92
  4. Step 4: Simplify right side
    52,770.65x = 2,104,311,205.26
  5. Step 5: Solve for x
    x = 2,104,311,205.26/52,770.65
  6. Step 6: Final answer
    x = 39,876.55

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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.