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Finding the Fourth Proportional to 77,922.70, 107,519.67 and 46,079.98

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Solution

The fourth proportional to 77,922.70, 107,519.67 and 46,079.98 is: 63,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,922.70 : 107,519.67 = 46,079.98 : x
  2. Step 2: Convert to fraction form
    77,922.70/107,519.67 = 46,079.98/x
  3. Step 3: Cross multiply
    77,922.70x = 107,519.67 × 46,079.98
  4. Step 4: Simplify right side
    77,922.70x = 4,954,504,243.21
  5. Step 5: Solve for x
    x = 4,954,504,243.21/77,922.70
  6. Step 6: Final answer
    x = 63,582.30

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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.