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Finding the Fourth Proportional to 75,576.80, 113,365.20 and 19,416.80

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Solution

The fourth proportional to 75,576.80, 113,365.20 and 19,416.80 is: 29,125.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576.80 : 113,365.20 = 19,416.80 : x
  2. Step 2: Convert to fraction form
    75,576.80/113,365.20 = 19,416.80/x
  3. Step 3: Cross multiply
    75,576.80x = 113,365.20 × 19,416.80
  4. Step 4: Simplify right side
    75,576.80x = 2,201,189,415.36
  5. Step 5: Solve for x
    x = 2,201,189,415.36/75,576.80
  6. Step 6: Final answer
    x = 29,125.20

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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.