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Finding the Fourth Proportional to 77,314.80, 116,016.81 and 41,776.22

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Solution

The fourth proportional to 77,314.80, 116,016.81 and 41,776.22 is: 62,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.80 : 116,016.81 = 41,776.22 : x
  2. Step 2: Convert to fraction form
    77,314.80/116,016.81 = 41,776.22/x
  3. Step 3: Cross multiply
    77,314.80x = 116,016.81 × 41,776.22
  4. Step 4: Simplify right side
    77,314.80x = 4,846,743,911.64
  5. Step 5: Solve for x
    x = 4,846,743,911.64/77,314.80
  6. Step 6: Final answer
    x = 62,688.43

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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.