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Finding the Fourth Proportional to 75,338.40, 113,119.20 and 42,124.80

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Solution

The fourth proportional to 75,338.40, 113,119.20 and 42,124.80 is: 63,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,338.40 : 113,119.20 = 42,124.80 : x
  2. Step 2: Convert to fraction form
    75,338.40/113,119.20 = 42,124.80/x
  3. Step 3: Cross multiply
    75,338.40x = 113,119.20 × 42,124.80
  4. Step 4: Simplify right side
    75,338.40x = 4,765,123,676.16
  5. Step 5: Solve for x
    x = 4,765,123,676.16/75,338.40
  6. Step 6: Final answer
    x = 63,249.60

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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.