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Finding the Fourth Proportional to 73,803.60, 110,678.40 and 23,896.80

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Solution

The fourth proportional to 73,803.60, 110,678.40 and 23,896.80 is: 35,836.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,803.60 : 110,678.40 = 23,896.80 : x
  2. Step 2: Convert to fraction form
    73,803.60/110,678.40 = 23,896.80/x
  3. Step 3: Cross multiply
    73,803.60x = 110,678.40 × 23,896.80
  4. Step 4: Simplify right side
    73,803.60x = 2,644,859,589.12
  5. Step 5: Solve for x
    x = 2,644,859,589.12/73,803.60
  6. Step 6: Final answer
    x = 35,836.46

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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.