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Finding the Fourth Proportional to 75,644.80, 113,467.20 and 20,240.80

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Solution

The fourth proportional to 75,644.80, 113,467.20 and 20,240.80 is: 30,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,644.80 : 113,467.20 = 20,240.80 : x
  2. Step 2: Convert to fraction form
    75,644.80/113,467.20 = 20,240.80/x
  3. Step 3: Cross multiply
    75,644.80x = 113,467.20 × 20,240.80
  4. Step 4: Simplify right side
    75,644.80x = 2,296,666,901.76
  5. Step 5: Solve for x
    x = 2,296,666,901.76/75,644.80
  6. Step 6: Final answer
    x = 30,361.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.