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Finding the Fourth Proportional to 77,713.87, 116,418.26 and 40,298.40

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Solution

The fourth proportional to 77,713.87, 116,418.26 and 40,298.40 is: 60,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,713.87 : 116,418.26 = 40,298.40 : x
  2. Step 2: Convert to fraction form
    77,713.87/116,418.26 = 40,298.40/x
  3. Step 3: Cross multiply
    77,713.87x = 116,418.26 × 40,298.40
  4. Step 4: Simplify right side
    77,713.87x = 4,691,469,608.78
  5. Step 5: Solve for x
    x = 4,691,469,608.78/77,713.87
  6. Step 6: Final answer
    x = 60,368.50

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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.