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Finding the Fourth Proportional to 52,847.82, 72,930.33 and 28,974.78

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Solution

The fourth proportional to 52,847.82, 72,930.33 and 28,974.78 is: 39,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,847.82 : 72,930.33 = 28,974.78 : x
  2. Step 2: Convert to fraction form
    52,847.82/72,930.33 = 28,974.78/x
  3. Step 3: Cross multiply
    52,847.82x = 72,930.33 × 28,974.78
  4. Step 4: Simplify right side
    52,847.82x = 2,113,140,267.08
  5. Step 5: Solve for x
    x = 2,113,140,267.08/52,847.82
  6. Step 6: Final answer
    x = 39,985.38

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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.