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Finding the Fourth Proportional to 80,301.78, 110,816.40 and 46,309.78

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Solution

The fourth proportional to 80,301.78, 110,816.40 and 46,309.78 is: 63,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,301.78 : 110,816.40 = 46,309.78 : x
  2. Step 2: Convert to fraction form
    80,301.78/110,816.40 = 46,309.78/x
  3. Step 3: Cross multiply
    80,301.78x = 110,816.40 × 46,309.78
  4. Step 4: Simplify right side
    80,301.78x = 5,131,882,793.23
  5. Step 5: Solve for x
    x = 5,131,882,793.23/80,301.78
  6. Step 6: Final answer
    x = 63,907.46

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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.