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Finding the Fourth Proportional to 83,845.80, 125,768.70 and 28,441.80

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Solution

The fourth proportional to 83,845.80, 125,768.70 and 28,441.80 is: 42,662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,845.80 : 125,768.70 = 28,441.80 : x
  2. Step 2: Convert to fraction form
    83,845.80/125,768.70 = 28,441.80/x
  3. Step 3: Cross multiply
    83,845.80x = 125,768.70 × 28,441.80
  4. Step 4: Simplify right side
    83,845.80x = 3,577,088,211.66
  5. Step 5: Solve for x
    x = 3,577,088,211.66/83,845.80
  6. Step 6: Final answer
    x = 42,662.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.