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Finding the Fourth Proportional to 52,766.31, 72,817.50 and 28,894.44

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Solution

The fourth proportional to 52,766.31, 72,817.50 and 28,894.44 is: 39,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,766.31 : 72,817.50 = 28,894.44 : x
  2. Step 2: Convert to fraction form
    52,766.31/72,817.50 = 28,894.44/x
  3. Step 3: Cross multiply
    52,766.31x = 72,817.50 × 28,894.44
  4. Step 4: Simplify right side
    52,766.31x = 2,104,020,884.70
  5. Step 5: Solve for x
    x = 2,104,020,884.70/52,766.31
  6. Step 6: Final answer
    x = 39,874.32

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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.